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# Trigonometric Functions

SOH-CAH-TOA! Have you heard the call of the trig function? Use them to navigate the trickier sides (and angles) of geometric shapes.

# Basic Trigonometric Functions

In triangle $$ABC$$, we have $$AB = 14, BC = 27$$ and $$CA= \sqrt{925}$$. What is the integer that is closest to $$100 \sin \angle ABC$$?

If $$\displaystyle \tan A=\frac{3}{4},$$ what is the value of $$7\cos A ?$$

If $$\angle ACB = 90^\circ,$$ $$AC=50,$$ and $$BC= 50\sqrt{3},$$ what is $$\angle BAC ?$$

If $$\alpha$$ is a real number such that $$\tan \alpha = \frac{1}{\sqrt{3}}$$ and $$\cos \alpha = \frac{\sqrt{3}}{2},$$ what is the value of $$\frac{1}{\sin \alpha}$$?

If $$\displaystyle \tan A=\frac{9}{40},$$ what is the value of $$7\cos A ?$$

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