Find the exact value of each of the remaining trigonometric functions of theta.

Question

Find the exact value of each of the remaining trigonometric functions of theta. tan theta = - 1/4, sec theta > 0 sin theta = (Type an exact answer, using radicals as needed. Simplify your answer. Use integers or fractions for any numbers in the expression.) cos theta = (Type an exact answer, using radicals as needed. Simplify your answer. Use integers or fractions for any numbers in the expression.) cot theta = (Type an exact answer, using radicals as needed. Simplify your answer. Use integers or fractions for any numbers in the expression.) sec theta = (Type an exact answer, using radicals as needed. Simplify your answer. Use integers or fractions for any numbers in the expression.) csc theta = (Type an exact answer, using radicals as needed. Simplify your answer. Use integers or fractions for any numbers in the expression.)

Explanation / Answer

tan theta=-1/4

opposite=1

adjacent=4

hypotenuse=sqrt(1+16)=sqrt 17

sin theta=opposite/hypotenuse=-1/sqrt17

cos theta=adjacent/hypotenuse=4/sqrt17

cot theta=1/tan theta=-4

sec theta=1 / cos theta=sqrt17 /4

csc theta=1/sin theta=-sqrt17

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