Home
Class 10
MATHS
If sin theta + cos theta = a, and sin th...

If `sin theta + cos theta = a,` and `sin theta = cos theta = b`, then A)`a^2 + b^2 = 1 ` B)`a^2 - b^2 = 1` C)`a^2 + b^2 = 2` D)`a^2 - b^2 = 2`

A

`a^2 + b^2 = 1 `

B

`a^2 - b^2 = 1`

C

`a^2 + b^2 = 2`

D

`a^2 - b^2 = 2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    CHETAN PUBLICATION|Exercise PROBLEMS FOR PRACTICE|26 Videos
  • TRIGONOMETRY

    CHETAN PUBLICATION|Exercise ASSIGNMENT - 6|11 Videos
  • TRIGONOMETRY

    CHETAN PUBLICATION|Exercise PROBLEM SET -6 (MCQs)|4 Videos
  • STATISTICS

    CHETAN PUBLICATION|Exercise ASSIGNMENT -6|12 Videos

Similar Questions

Explore conceptually related problems

If sin theta+cos theta=a and sec theta+cosec theta=b , then the value of b(a^(2)-1) is equal to

If a cos theta - b sin theta = c, show that a sin theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2))

If "cosec" theta - sin theta = a^(3) and sec theta - cos theta = b^(3) , then prove that a^(2)b^(2)(a^(2) + b^(2))= 1.

Solve : 3-2 cos theta -4 sin theta - cos 2theta+sin 2theta=0 .

Solve the equations: sin 2theta - cos 2 theta - sin theta + cos theta = 0

If tan theta = 1/b , then ( a sin theta - b cos theta )/( a sin theta + b cos theta) is

Prove that sin^(4) theta + cos^(4) theta = 1 - 2 sin^2 theta cos^(2) theta