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Chapter 6: Q.39 (page 395)

sin胃,cos胃are given. Find the exact value of each of the four remaining trigonometric functions sin胃=12,cos胃32

Short Answer

Expert verified

The value ofcsc胃=2,sec胃=23,tan胃=13,cot胃=3

Step by step solution

01

Step 1.  Given information 

Here sin胃=12,cos胃32is given.

we need to find the exact value of each of the four remaining trigonometric functions

02

. Finding the value of trigonometric functions cscθ and secθ

In this question

sin胃=12socsc胃=1sin胃=112=2cos胃=32thensec胃=1cos胃=132=23

03

Step 3. Finding the value of the trigonometric function tanθ and cotθ

We know thattan胃=sin胃cos胃=1232sincesin胃=12andcos胃=32=13andcot胃=1tan胃=113=3

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