2. Trigonometric Functions on Right Triangles

Use trigonometric function values of quadrantal angles to evaluate each expression. (sin 180°)² + (cos 180°)²

In circle $O$, $AB$ and $CD$ are diameters. Arc $ED$ measures $170°$. What is the measure of arc $AE$?

Use the appropriate reciprocal identity to find each function value. Rationalize denominators when applicable. See Example 1. cot θ , given that tan θ = 18

Given a right triangle where angle $a$ has an opposite side of length $3$, an adjacent side of length $4$, and a hypotenuse of length $5$, use the triangle to evaluate each function: $\sin \left(a\right)$, $\tan \left(a\right)$, and $\sec \left(a\right)$.

Which of the following statements is true about the tangent function $\tan$ in a right triangle?

In Exercises 9–16, evaluate the trigonometric function at the quadrantal angle, or state that the expression is undefined. csc 𝜋

Find a formula for the area of each figure in terms of s.

What is a positive value of A in the interval $\(\left\)[0\(\degree\),90\(\degree\]\right\))$ that will make the following statement true? Express the answer in four decimal places.

$\(\sin\) A=0.9235$

In Exercises 9–16, use the given triangles to evaluate each expression. If necessary, express the value without a square root in the denominator by rationalizing the denominator.

tan 30°

Given the right triangle below, evaluate $\(\tan\]\theta\)$.