If A=Arc cos 1/2/ What is the exact value of Tan A?

Question

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Answer 1

A = arccos (1/2)
cos A = 1/2

Draw a right triangle and label one of the angles A (not the right angle). What does cos(A) tell you about the ratio of two of the sides? Label the two sides of the triangle so that cos(A) = 1/2.
Use the pythagorean theorem to get the 3rd side. You now have all 3 sides. You can now figure out tan(A) from this triangle.

Answer 2

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