6. Trigonometric Identities and More Equations

In a $\mathrm{circle}$, if two $\mathrm{chords}$ are $\mathrm{congruent}$, what can be said about the $\mathrm{arcs}$ they subtend?

In the context of the $unit circle$, which of the following best represents an $intercepted arc$?

Which of the following correctly expresses the relationship between the length of an arc $s$ of a circle, its radius $r$, and the central angle $\theta$ in radians?

Identify the most helpful first step in verifying the identity.

$\(\sec\)^3\(\theta\)=\(\sec\]\theta\)+\(\frac{\tan^2\theta}{\cos\theta}\)$

Use the even-odd identities to evaluate the expression.

$\(\cos\]\left\)(-\(\theta\[\right\))-\(\cos\]\theta\)$

Which equation results from applying the secant and tangent segment theorem to the figure?

Use the even-odd identities to evaluate the expression.

$-\(\cot\]\left\)(\(\theta\[\right\))\(\cdot\]\sin\[\left\)(-\(\theta\]\right\))$

Select the expression with the same value as the given expression.

$\(\sec\[\left\)(-\(\frac{4\pi}{5}\]\right\))$

Which of the following is not a variation of a Pythagorean identity?

Which of the following is a correct Pythagorean trigonometric identity?

Which of the following is not a variation of a Pythagorean identity?

Use the Pythagorean identities to rewrite the expression with no fraction.

$\(\frac{1}{1-\sec\theta}\)$

Identify the most helpful first step in verifying the identity.

$\(\left\)(\(\frac{\tan^2\theta}{\sin^2\theta}\)-1\(\right\))=\(\sec\)^2\(\theta\[\sin\)^2\(\left\)(-\(\theta\]\right\))$

Simplify the expression.

$\(\left\)(\(\frac{\tan^2\theta}{\sin^2\theta}\)-1\(\right\))\(\csc\)^2\(\left\)(\(\theta\[\right\))\(\cos\)^2\(\left\)(-\(\theta\]\right\))$