Lesson 28.1

Lesson 28.1 p. 29-30

Use sine ratio.

RECALL Sides of a Right Triangle

• The HYPOTENUSE is directly across from the right angle.

• The OPPOSITE side is directly across from the reference angle.

• The ADJACENT side is ONE of the sides of the reference angle, but it isn't the hypotenuse.

​Another TAKEAWAY from Lesson 28

Multiple Choice

What is the value of x in the diagram below?

It is a 30-60-90 triangle.

• $$2.5$$

• $$5$$

• $$5\sqrt{3}$$

• $$10$$

Multiple Select

Consider angle B in the diagram below.

What is the length of the leg opposite angle B?

• 6

• 8

• 10

• not possible to determine

Multiple Select

Consider angle B in the diagram.

What is the length of the leg adjacent to angle B?

• 6

• 8

• 10

• good question

Multiple Choice

What is the ratio for cosine?

• $$\frac{Opposite\ Leg}{Adjacent\ Leg}$$

• $$\frac{Opposite\ Leg}{Hypotenuse}$$

• $$\frac{Adjacent\ Leg}{Hypotenuse}$$

• $$\frac{Hypotenuse}{Adjacent\ Leg}$$

Multiple Choice

What is the ratio for tangent?

• $$\frac{Opposite\ Leg}{Adjacent\ Leg}$$

• $$\frac{Opposite\ Leg}{Hypotenuse}$$

• $$\frac{Adjacent\ Leg}{Hypotenuse}$$

• $$\frac{Hypotenuse}{Adjacent\ Leg}$$

Multiple Choice

What is the ratio for sine?

• $$\frac{Opposite\ Leg}{Adjacent\ Leg}$$

• $$\frac{Opposite\ Leg}{Hypotenuse}$$

• $$\frac{Adjacent\ Leg}{Hypotenuse}$$

• $$\frac{Hypotenuse}{Adjacent\ Leg}$$

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​Trig Functions
on a TI-84 Plus

sine and inverse sine

Multiple Choice

Which trig function would you use to solve for x?

• $$\sin40=\frac{x}{19}$$

• $$\cos40=\frac{x}{19}$$

• $$\tan40=\frac{x}{19}$$

Multiple Choice

Which equation could be used to solve for the unknown angle?

• x =sin^–1(25/24)

• x = sin^–1(24/25)

• x = sin^–1(25/7)

• x = sin^–1(7/25)

Multiple Choice

Which equation would you use to solve for the unknown angle?

• $$x=\sin^{-1}\left(\frac{56}{70}\right)$$

• $$x=\sin^{-1}\left(\frac{70}{56}\right)$$

• $$x=\sin^{-1}\left(\frac{70}{42}\right)$$

• $$x=\sin^{-1}\left(\frac{42}{70}\right)$$

Multiple Choice

Which is the correct equation for the diagram?

• $$\sin\left(\theta\right)=\frac{20}{25}$$  
  

• $$\cos\left(\theta\right)=\frac{20}{25}$$  

• $$\tan\left(\theta\right)=\frac{20}{25}$$  

• $$\sin\left(\theta\right)=\frac{25}{20}$$  

Find the missing measurements.

Find the missing measurements.

Find the missing measurements.

Find the missing measurements.

Find the missing measurements.

Find the missing measurements.

Work

p. 29-30