2. Trigonometric Functions on Right Triangles

Triangle ABC is an isosceles right triangle. What is the measure of one of the base angles?

Which of the following triangles is a scalene triangle?

Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

Without using a calculator, determine all values of P in the interval $\(\left\)[0\(\degree\),90\(\degree\]\right\))$ with the following trigonometric function value.

$\(\csc\) P=\(\sqrt\)2$

Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).

Without using a calculator, determine all values of A in the interval $\(\left\)[0,\(\frac{\pi}{2}\]\right\))$ with the following trigonometric function value.

$\(\cos\) A=\(\frac{\sqrt3}{2}\)$

Use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

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sec 45°

Use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

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csc 45°

Use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

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tan 𝜋/3

Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all.

sin 30°

Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all.

cot 30°

Give the exact value of each expression. See Example 5. cos 30°