Home
Class 12
MATHS
Given, x cos^(3)y + 3x cosy sin^(2)y =14...

Given, `x cos^(3)y + 3x cosy sin^(2)y =14` and `xsin^(3)y + 3x cos^(2)y siny=13`.
Value of `sin^(2)y + 2cos^(2)y` is-

A

`4/5`

B

`9/5`

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
b
Promotional Banner

Topper's Solved these Questions

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Integer Answer Type:|5 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

  • IDENFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Comprehension Type )|6 Videos

Similar Questions

Explore conceptually related problems

Given, x cos^(3)y + 3x cosy sin^(2)y =14 and xsin^(3)y + 3x cos^(2)y siny=13 . The values of x -

Solve: 13(cos^(3)y + 3 cosy sin^(2)y) = 14(sin^(3)y + 3cos^(2)y siny)

Given, x cos^(3)y + 3x cosy sin^(2)xy =14 and xsin^(3)y + 3x cos^(2)y siny=13 . Number of values of y in the interval [0, 6pi] are-

(cos x + cos y ) ^(2) + (sin x - sin y ) ^(2) = 4 cos ^(2) ""(x + y )/( 2)

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

If x cos 60^(@)+y cos0^(@)=3 and 4x sin 30^(@) -y cot 45^(@)=2, then what is the value of x ?

If cos x + cos y = 2, "then the value of" sin(x + y) is-

If sin x+ sin y+ sin z=3, then the value of (cos x+ cos y+ cos z) is-

sin^(-1)x-sin ^(-1)y=(pi)/(3) and cos^(-1) x+ cos ^(-1) y=(2pi)/(3)

If (cos x)/(cosy)=n and (sinx)/(siny)=m , what is the value of (m^(2)-n^(2))sin^(2)y ?