Unit 4 Day 4 - Ambiguous Case

Multiple Choice

Which of the following would you use to find the measure of an angle?

• Pythagorean theorem
• Sin, Cos, or Tan
• Sin^-1, Cos^-1, or Tan^-1
• Chord-Chord Product Theorem

Multiple Choice

What should be typed into a calculator (in degree mode) to solve for x?

• $$\sin\left(\frac{3}{7}\right)$$

• $$\sin^{-1}\left(\frac{3}{7}\right)$$

• $$7\sin^{-1}\left(3\right)$$

• $$\sin^{-1}\left(\frac{7}{3}\right)$$

Multiple Choice

Which trig equation would you use to find the measure of the indicated angle (?)

• $$\cos\left(?\right)=\frac{23}{28}$$

• $$\sin\left(?\right)=\frac{23}{28}$$

• $$\tan\left(?\right)=\frac{23}{28}$$

• $$\tan\left(?\right)=\frac{28}{23}$$

Multiple Choice

Which trig equation would you use to find the measure of the indicated angle (?)

• $$\tan\left(\theta\right)=\frac{5}{4}$$

• $$\sin\left(\theta\right)=\frac{4}{5}$$

• $$\cos\left(\theta\right)=\frac{5}{4}$$

• $$\cos\left(\theta\right)=\frac{4}{5}$$

Sine rule: Ambiguous Case

- what is sine law ambiguous case?

- how do we solve it?

- let's practice

- feedback

​Some triangles don't give enough information to narrow it down to one option.

Open Ended

What's wrong with the picture to the right?