Determine the exact values of the six trigonometric function

Determine the exact values of the six trigonometric functions of the angle .

sin() =   
cos()=
tan() =
csc() =

sec() =
cot() =

Solution

tan theta=y/x=-60/-32=15/8

cot theta=1/tan theta=8/15

Here oppsite=15 , adjacent=8

hypotenuse=sqrt(64+225)=17

sin theta=opposite/hypotenuse=-15/17

cos theta=adjacent/hypotenuse=-8/17

csc theta=1/sin theta=-17/15

sec theta=1/cos theta=-17/8

Determine the exact values of the six trigonometric functions of the angle . sin() = cos()= tan() = csc() = sec() = cot() = Solutiontan theta=y/x=-60/-32=15/8 c

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