SOLUTION: Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Use the Pythagorean Theorem to determine the third side and then find the other five

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Question 717197: Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Use the Pythagorean Theorem to determine the third side and then find the other five trigonometric functions of θ.
sec θ = 9/7
sin θ=
cos θ=
tan θ=
csc θ=
cot θ=

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


If the secant is , then the hypotenuse is proportional to 9, and the adjacent leg is proportional to 7. Hence the opposite leg is proportional to

Now that you have the measures of the three sides, the remaining trigonometric functions are trival. Don't forget to rationalize the denominators in the case of the cosecant and the cotangent.

John

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