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Chapter 8: Q. 10 (page 516)

Find the exact value of the six trigonometric functions of the angle 胃in each figure.

Short Answer

Expert verified

The solution is sin胃=35,cos胃=45,tan胃=34,csc胃=53,sec胃=54,cot胃=43

Step by step solution

01

Step 1. Given information 

Adjacent=4and opposite=3

02

Step 2. Calculation 

Let a=4, b=3and role="math" localid="1647102231651" c=hypotenuse.

Now, role="math" localid="1647102404943" c2=a2+b2 Pythagorean Theorem

c2=42+32

c=16+9

c=25

c=5

03

Step 3. Calculation 

The value of each of the six trigonometric functions are -
sin胃=bc=35 cos胃=ac=45 tan胃=ba=34

csc胃=cb=53 sec胃=ca=54 cot胃=ab=43

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