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What is sin^(2)(3pi)+cos^(2)(4pi)+tan^(...

What is `sin^(2)(3pi)+cos^(2)(4pi)+tan^(2)(5pi)` equal to ?

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
`sin^(2)(3pi)+cos^(2)(4pi)+tan^(2)(5pi)`
`=sin^(2)(3pi)+cos^(2)(pi+3pi)+tan^(2)(5pi)`
`=(sin^(2)(3pi)+cos^(2)(pi+3pi)+tan^(2)(5pi)`
`=(sin^(2)(3pi)+cos^(2)(3pi))+tan^(2)(2xx2pi+pi)`
`=1+tan^(2)pi=sec^(2)pi=1`
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NDA PREVIOUS YEARS-TRIGONOMETRY - RATIO & IDENTITY , TRIGONOMETRIC EQUATIONS-MCQ
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