` sin^(2) (3pi) +cos^(2) (4pi)+tan^(2) (5pi)` किसके तुल्य है ?

Options

A. 0
B. 1
C. 2
D. 3

Answer

B

Explanation

` sin^(2)(3pi) +cos^(2)(4pi)+tan^(2)(5pi)`
` = sin^(2) (2 pi+pi)+cos^(2)(2pi+2pi)`
`+ tan^(2) (4pi +pi)`
` = sin^(2) (pi/2 +pi/2)+cos^(2)((3pi)/2+pi/2)`
` + tan^(2) (pi/2 +pi/2)`
` cos^(2) pi/2 +sin^(2). pi/2 +cot^(2)(pi/2)`
` (0)^(2) +(1)^(2)=(0)^(2)`
` = 0 + 1+0 =1`