Home
Class 12
MATHS
Let f(x) = sin x + cos x + tan x = aec...

Let ` f(x) = sin x + cos x + tan x = aec sin x = arc cos x + arc tan x. ` If M and m are maximum and minimum values of f(x). Then their arithmetic mean is equal to

A

`pi`

B

`pi/2`

C

`2pi`

D

`(3pi)/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Period of f(x) = sin^4 x + cos^4 x

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

(sin 5x + sin 3x )/( cos 5x + cos 3x ) = tan 4x

Prove that = (sin 5x - 2 sin 3 x + sin x)/( cos 5x - cos x) = tan x

The minimum value of f(x)=3cos x + 4sin x is ………..

Find local maximum and minimum value of f(x)=sin^(4)x + cos^(4)x, x in[0, (pi)/(2)] .

f(x) = 3 cos x + 4 sin x + 8 has minimum value 19.

At what points, f(x)=1+2 sin x + 3 cos^(2)x, 0 lt x lt (2pi)/(3) has maximum or minimum ? Find the maximum and minimum value of the function.