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Use the Pythagorean Theorem to find the length of the missing side of the right

ID: 3025569 • Letter: U

Question

Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of theta. The length of the missing side of the right triangle is c = 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)

Explanation / Answer

a=10 , b=24 ,c=sqrt(576+100)=26

sin theta=a/c=10/26=5/13

cos theta=b/c=24/26=12/13

tan theta=a/b=5/12

Cot theta=b/a=12/5

Sec theta=c/b=13/12

Csc theta=c/a=13/5