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Chapter 6: Q. 36 (page 395)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information

Here sin胃=45andcos胃=-35are 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,secθ 

Here

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

03

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

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

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