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Chapter 6: Q.35 (page 395)

sin胃,cos胃are given. Find the exact value of each of the four remaining trigonometric functions.sin胃=-35,cos胃=45

Short Answer

Expert verified

The value ofcsc胃=-53,sec胃=54,tan胃=-34andcot胃=-43

Step by step solution

01

Step 1. Given information

Here sin胃=-35andcos胃=45are given.

We have to find out the exact value of each of the four remaining trigonometric functions.

02

. Finding the value of trigonometric functions cscθ and secθ

Here

sin胃=-35socsc胃=1sin胃=-135=-53cos胃=45thensec胃=1cos胃=145=54

03

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

We know thattan胃=sin胃cos胃=-3545sincesin胃=-35andcos胃=45=-34andcot胃=1tan胃=1-34=-43

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