Home
Class 14
REASONING
The maximum value of sin^4 theta + cos^4...

The maximum value of `sin^4 theta + cos^4 theta ` is.
`sin^4 theta + cos^4 theta` का अधिकतम मान है

A

A. 2

B

B. 3

C

C. `1/3`

D

D. 1

Text Solution

Verified by Experts

The correct Answer is:
D
`sin^(2m) theta + theta cos^(2n) theta lt= sin^2 theta + cos^2 theta `
` rArr sin^(2m) theta + cos^(2n) theta lt= 1`
` therefore sin^4 theta + cos^2 theta ` का महत्तम मान 1 होगा।
Promotional Banner

Similar Questions

Explore conceptually related problems

The maximum values of 4sin theta+3cos theta is

An maximum value of 1+4 sin theta + 3 cos theta is

Maximum value of 3 cos theta + 4 sin theta is

The value of 2(sin^6 theta+ cos^6 theta )-3 (sin^4 theta + cos^4 theta) is ……..

If 3 sin theta + 4 cos theta =5 , then value of sin theta is

If sin theta=4 cos theta , then what is the value of sin theta cos theta ? यदि sin theta=4 cos theta , है, तो sin theta cos theta का मान क्या होगा ?