Home
Class 12
MATHS
If cos x + cos^2 x=1 , then the val...

If ` cos x + cos^2 x=1 `, then the value of `sin ^4 x + sin ^6 x ` is equal to

A

` -1 + sqrt(5) `

B

` (-1-sqrt(5))/( 2)`

C

`(1-sqrt(5))/(2)`

D

`(-1sqrt(5))/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|44 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

  • VECTOR ALGEBRA

    NEW JOYTHI PUBLICATION|Exercise CONTINUOUS EVALUATION|2 Videos

Similar Questions

Explore conceptually related problems

If cos (2 sin^(-1) x) = (1)/(9) , then find the value of x

If sin^ 4 x/2+cos^4 x/3 =1/5 then

Knowledge Check

  • int(cos^(-1)x+sin^(-1)x)dx is equal to

    A
    `(pi)/(2)+C`
    B
    `pix+C`
    C
    `(pi)/(2)+C`
    D
    None of these

    • Similar Questions

    Explore conceptually related problems

    Let x, y, in R satisfy the condition such that sin x sin y + 3 cos y +4 sin y cos x=sqrt(26) . The value of tan^(2)x + cot^(2)y is equal to

    Integrate cos 2x sin 4x

    tan^-1[(cos x)/(1+sin x)] is equal to

    Find the value of 8sin2x.cos4x.sin6x , when x=15^(@)

    Find the valueof 8sin2x.cos4x.sin6x , when x=15^(@) .

    If sinx+sin^2x=1 , then find the value of cos^(12)x +3cos^(10)x + 3 cos^8x + cos^6x-1

    Solve sin x+cos x=1 +sin x cos x

    Home
    Profile