The point (- 9, - 8) lies on the terminal side of an angle theta. Find the exact

Question

The point (- 9, - 8) lies on the terminal side of an angle theta. Find the exact value of the six trigonometric functions of theta. sin theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cos theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) tan theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) csc theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sec theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) cot theta = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Explanation / Answer

(-9,-8)

tan theta=y/x=-8/-9=8/9

cot theta=1/tan theta=9/8

opposite=8, adjacent=9

hypotenuse=sqrt(64 +81)=sqrt145

sin theta=opposite/hypotenuse=-8/sqrt145

cos theta=adjacent/hypotenuse=-9/sqrt 145

csc theta=1/sin theta=-sqrt145/8

sec theta=1/cos theta=-sqrt145/9

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