Which of the following is not correct ?

Options

A. `cos(cos 1) gt cos(sin 1)`
B. `sin(cos 1) lt sin(sin 1)`
C. `cos(cos 2) gt sin (cos 2)`
D. none of these

Answer

D

Explanation

sin 1 gt cos 1 (as `1 gt pi//4` for which sin x gt cos x)
`rArr cos(sin 1)lt cos(cos 1)` (as cos x is increasing in the first quadrant)
Also sin(sin 1) gt sin(cos 1)(as sin x is increasing in the first quadrant)
Also cos 2 lt 0, hence cos `2 in` IV quadrant, where cos x is +ve and sin x is -ve.
Hence, cos (cos 2) gt sin(cos 2)