Maths | Complex Numbers | If √3 + i =  r (cosθ + i sinθ), then find the value of θ in radian measure.

1 Answer

Answer :

Solution :

image

Related questions

Description : Class 12 | Maths | Complex Numbers | Express the complex numbers modulus-amplitude form  - √3 + i

Last Answer : Solution : 

Description : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.

Last Answer : Class 12 | Maths | Complex Numbers | Simplify the following complex numbers and find their modulus.

Description : Class 12 | Maths | Complex Numbers | Simplify -2i ( 3 + i )( 2 + 4i )( 1 + i ) and obtain the modulus of that complex number.

Last Answer : Solution :

Description : A force 2P is acting on the double transverse fillet weld. Leg of weld is h and length l. Determine the shear stress in a plane inclined at θ with horizontal. a) PSinθ(Sinθ+Cosθ)/hl b) P(Sinθ+Cosθ)/hl c) Pcosθ(Sinθ+Cosθ)/hl d) None of the listed

Last Answer : a) PSinθ(Sinθ+Cosθ)/hl

Description : A force 2P is acting on the double transverse fillet weld. Leg of weld is h and length l. Determine the shear stress in a plane inclined at θ with horizontal. a) PSinθ(Sinθ+Cosθ)/hl b) P(Sinθ+Cosθ)/hl c) Pcosθ(Sinθ+Cosθ)/hl d) None of the listed

Last Answer : a) PSinθ(Sinθ+Cosθ)/hl

Description : If the magnetic flux density and current are at right angles, then component of force acting on the conductor is A. BIL cosθ B. BIL sinθ C. BIL tanθ D. BL sinθ

Last Answer : BIL sinθ

Description : The value of a machine depriciates at the rate of 10% per annum. If its present value is Rs 10000, what will be its value after 2 years? -Maths

Last Answer : answer:

Description : If 12.5% of x is 6, find the value of x. -Maths

Last Answer : answer:

Description : Fill in the blanks: (a) 1 lakh = ………….. ten thousand. (b) 1 million = …………… hundred thousand. (c) 1 crore = ………………. ten lakh. (d) 1 crore = ……………. million. (e) 1 million = ……………. lakh. -Maths

Last Answer : a) 10 (b) 10 (c) 10 (d) 10 (e) 10

Description : A number is increased by 10% and the increased num\ber is decreased by 10%. Show that the net decrease is 1 -Maths

Last Answer : answer:

Description : The population of a town increases at 5% per annum. Its present population is 16000. What will be its population after 2 years? -Maths

Last Answer : answer:

Description : (i) What per cent of 1 kg is 125 g? (ii) What per cent of 80 m is 24 m? -Maths

Last Answer : answer:

Description : An ore contains 12% copper. How many kilograms of the ore are required to get 69 kg of copper? -Maths

Last Answer : 579 kg is the answer

Description : 70% of the students in a school are boys and the number of girls is 504. Find the number of boys in the school. -Maths

Last Answer : answer:

Description : 96% of the cost of a TV is Rs 10464. What is its total cost? -Maths

Last Answer : answer:

Description : The excise duty on a certain item has been reduced to Rs 760 from Rs 950. Find the reduction per cent in the excise duy on that item. -Maths

Last Answer : answer:

Description : The monthly salary of a typist is Rs 15625. If he gets an increase of 12%, find his new salary. -Maths

Last Answer : answer:

Description : Rupesh secures 495 marks out of 750 in his annual examination. Find the percentage of marks obtained by him. -Maths

Last Answer : answer:

Description : What percentage is (i) Rs 15 of Rs 120? (ii) 36 minutes of 2 hours? (iii) 8 hours of 2 days (iv) 160 metres of 4 km? (v) 175 mL of 1 litre? (vi) 25 paise of Rs 4? -Maths

Last Answer : answer:

Description : What per cent of 84 is 14? -Maths

Last Answer : answer:

Description : What amount is 10% more than Rs 90? -Maths

Last Answer : answer:

Description : Find the number whose 614% is 2. -Maths

Last Answer : answer:

Description : Find the number whose 13% is 65. -Maths

Last Answer : answer:

Description : Find: (i) 25% of Rs 76 (ii) 20% of Rs 132 (iii) 7.5% of 600 m (iv) 313% of 90 km (v) 8.5% of 5 kg (vi) 20% of 12 litres -Maths

Last Answer : answer:

Description : Find: (i) 32% of 425 (ii) 1623% of 16 (iii) 6.5% of 400 (iv) 136% of 70 (v) 2.8% of 35 (vi) 0.6% of 45 -Maths

Last Answer : answer:

Description : Convert each of the following decimals into a percentage: (i) 0.6 (ii) 0.42 (iii) 0.07 (iv) 0.005 -Maths

Last Answer : answer:

Description : Convert each of the following into decimal form: (i) 45% (ii) 127% (iii) 3.6% (iv) 0.23% -Maths

Last Answer : answer:

Description : Convert each of the following ratios into a percentage: (i) 37 : 100 (ii) 16 : 25 (iii) 3 : 5 (iv) 5 : 4 -Maths

Last Answer : answer:

Description : Express each of the following as a ratio: (i) 43% (ii) 36% (iii) 7.5% (iv) 125% -Maths

Last Answer : answer:

Description : Convert each of the following fraction into a percentage: (i) 47 100 (ii) 9 20 (iii) 3 8 (iv) 8 125 (v) 19 500 (vi) 4 15 (vii) 2 3 (viii) 1 3 5 -Maths

Last Answer : We have the following: (i) 47100=47100×100% = 47% (ii) 920=920×100% =9×5%= 45% (iii) 38=38×100% =3×252%=752%=3712% (iv) 8125=8125×100%=8×45%=325%=6.4% (v) ... ;203%=803%=2623% (vii) 23=23×100%=2003%=6623% (viii) 135=85=85×100%=(8×20)%=160%

Description : Convert each of the following into a fraction: (i) 32% (ii) 614% (iii) 2623% (iv) 120% (v) 6.25% (vi) 0.8% (vii) 0.06% (viii) 22.75% -Maths

Last Answer : answer:

Description : Write each of the following as decimals: (a) 5 / 10 (b) 3 + 7 / 10 (c) 200 + 60 + 5 + 1 / 10 (d) 70 + 8 / 10 (e) 88 / 10 -Maths

Last Answer : (a) 5 / 10 = 0.5 (b) 3 + 7 / 10 = 3 + 0.7 = 3.7 (c) 200 + 60 + 5 + 1 / 10 = 265 + 0.1 = 265.1 (d) 70 + 8 / 10 = 70 + 0.8 = 70.8 (e) 88 / 10 = 80 / 10 + 8 / 10 = 8 + 0.8 = 8.8 (f) (g) 3 / 2 = (2 + 1) / ... + 0.5 = 1.5 (h) 2 / 5 = 0.4 (i) 12 / 5 = (10 + 2) / 5 = 10 / 5 + 2 / 5 = 2 + 0.4 = 2.4 (j) (k)

Description : Write each of the following as decimals: (a) Seven-tenths (b) Two tens and nine-tenths (c) Fourteen point six (d) One hundred and two ones (e) Six hundred point eight -Maths

Last Answer : (a) The decimal form of Seven-tenths is 7 / 10 = 0.7 (b) The decimal form of two tens and nine tenths is 20 + 9 / 10 = 20.9 (c) The decimal form of fourteen point six is 14.6 (d) The decimal form of one hundred and two ones is 100 + 2 = 102.0 (e) The decimal form of six hundred point eight is 600.8

Description : Radian is used to measure - (1) Temperature (2) Intensity of Flame (3) Angle (4) Solid Angle

Last Answer : (3) Angle Explanation: Kelvin is used to measure Temperature, Candela is used to measure Intensity of flame, Steredian is used to measure Solid Angle.

Description : Find the Laplace equation value of the following potential field V = r cos θ + φ a) 3 b) 2 c) 1 d) 0

Last Answer : d) 0

Description : Geometrical shapes of the complex formed by the reaction of `Ni^(2+)` with `Cl^(Θ),CN^(Θ)` and `H_(2)O` are :

Last Answer : Geometrical shapes of the complex formed by the reaction of `Ni^(2+)` with `Cl^(Θ) ... and octahedral D. octahedral, square planar and octahedral

Description : The acidic aqueous solution of ferrous ion forms a brown complex in the presence of `NO_(3)^(Θ)` by the follwing two steps: `[Fe(H_(2)O)_(6)]^(2+) +NO

Last Answer : The acidic aqueous solution of ferrous ion forms a brown complex in the presence of `NO_(3)^(Θ)` ... + H_(2)O` Complete and balance the equations .

Description : A current `i` ampere flows in a circular arc of wire whose radius is `R`, which subtend an angle `3pi//2` radian at its centre. The magnetic induction

Last Answer : A current `i` ampere flows in a circular arc of wire whose radius is `R`, which subtend an angle `3pi//2` radian at ... 0)i)/(R )` D. `3mu_(0)i)/(8R)`

Description : √3-1÷√3+1 rationalise (can solve by finding the rationalizing factor of denominator -Maths 9th

Last Answer : This answer was deleted by our moderators...

Description : Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal. -Maths 9th

Last Answer : Rationalisation of denominator

Description : √3-1÷√3+1 rationalise (can solve by finding the rationalizing factor of denominator -Maths 9th

Last Answer : This answer was deleted by our moderators...

Description : Rationalise the denominator in each of the following and hence evaluate by taking √2 = 1.414, √3 = 1.732 and √5 = 2.236 up to three places of decimal. -Maths 9th

Last Answer : Rationalisation of denominator

Description : A simply supported rolled steel joist 8 m long carries a uniformly distributed load over it span so  that the maximum bending stress is 75 N/mm². If the slope at the ends is 0.005 radian and the  value of E = 0.2 ... joist, is  (A) 200 mm  (B) 250 mm  (C) 300 mm  (D) 400 mm 

Last Answer : (D) 400 mm 

Description : If the potential is given by, V = 10sin θ cosφ/r, find the density at the point P(2, π/2, 0) (in 10 -12 units) a) 13.25 b) 22.13 c) 26.31 d) 31.52

Last Answer : b) 22.13

Description : Find the potential of the function V = 60cos θ/r at the point P(3, 60, 25). a) 20 b) 10 c) 30 d) 60

Last Answer : b) 10

Description : Find the potential of V = 60sin θ/r 2 at P(3,60,25) a) 5.774 b) 6.774 c) 7.774 d) 8.774

Last Answer : a) 5.774

Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2 as volume integral. a) 600 b) 588.9 c) 577.8 d) 599.7

Last Answer : b) 588.9

Description : Evaluate Gauss law for D = 5r 2 /4 i in spherical coordinates with r = 4m and θ = π/2. a) 600 b) 599.8 c) 588.9 d) 577.8

Last Answer : c) 588.9

Description : The scalar factor of spherical coordinates is a) 1, r, r sin θ b) 1, r, r c) r, r, 1 d) r, 1, r

Last Answer : a) 1, r, r sin θ

Description : Given B= (10/r)i+( rcos θ) j+k in spherical coordinates. Find Cartesian points at (- 3,4,0) a) -2i + j b) 2i + k c) i + 2j d) –i – 2k

Last Answer : a) -2i + j