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91Ó°ÊÓ

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

Short Answer

Expert verified

The solution is sinθ=513,cosθ=1213,tanθ=512,cscθ=135,secθ=1312,cotθ=125

Step by step solution

01

Step 1. Given information 

Adjacent=12and opposite=5

02

Step 2. Calculation 

Let a=12, b=5and c=hypotenuse.

Now, role="math" localid="1647102386605" c2=a2+b2 Pythagorean Theorem

role="math" localid="1647102395725" c2=122+52

c=144+25

c=169

c=13

03

Step 3. Calculation 

The value of each of the six trigonometric functions are -

sinθ=bc=513 cosθ=ac=1213 tanθ=ba=512 cscθ=cb=135 secθ=ca=1312 cotθ=ab=125

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