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=
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
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it