wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Write the value of the expression tan(sin1x+cos1x2), where x=32.

Open in App
Solution

Given, x=32

tan(sin1x+cos1x2)=tan⎜ ⎜ ⎜ ⎜sin132+cos1322⎟ ⎟ ⎟ ⎟

We know that,
sinπ3=32 and cosπ6=32

=tan⎜ ⎜π3+π62⎟ ⎟

=tan⎜ ⎜ ⎜2π6+π62⎟ ⎟ ⎟

=tan⎜ ⎜ ⎜2π+π62⎟ ⎟ ⎟

=tan⎜ ⎜ ⎜3π62⎟ ⎟ ⎟

=tan⎜ ⎜π22⎟ ⎟

=tan(π4)

=1


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Multiple and Sub Multiple Angles
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon