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Chapter 6: Q.42 (page 395)

sin胃,cos胃 are given .Find the exact value of each of the four remaining trigonometric functions sin胃=223,cos胃=-13

Short Answer

Expert verified

The value ofcsc胃=322,sec胃=-13,tan胃=--22,cot胃=-122

Step by step solution

01

Step 1. Given information

Here sin胃=223,cos胃=-13are 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 questionsin胃=223socsc胃=1sin胃=1223=322cos胃=-13thensec胃=1cos胃=1-13=-3

03

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

Heretan胃=sin胃cos胃=223-13sincesin胃=223andcos胃=-13=-22andcot胃=1tan胃=-122

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