Trigonometry

Trigonometry

**** Right triangles ONLY

SOH-CAH-TOA

SOH: sin(θ) = opp÷hyp

CAH: cos(θ) = adj÷hyp

TOA: tan(θ) = opp÷adj

Some text here about the topic of discussion

θ = angle of interest measure

adj- length of adjacent side

opp - length of opposite side

hyp - length of hypotenuse

Know these terms!

Vocabulary

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SOH: sin(θ) = opp÷hyp

​θ =

opp =

hyp =

Identify your sides and angle of interest!

Sine

Multiple Choice

Use the sine function to find the length of the opposite side. Which variable are you solving for?

• x

• y

Multiple Choice

Use the sine function to find the length of the opposite side. Which of the following correctly sets up the equation we are going to solve?

• $$\sin\left(40\right)=\frac{y}{19}$$

• $$\sin\left(40\right)=\frac{x}{19}$$

• $$\sin\left(40\right)=\frac{19}{y}$$

• $$\sin\left(40\right)=\frac{y}{x}$$

Multiple Choice

Use the sine function to find the length of the opposite side. Which of the following is the length of the opposite side?

• 19 meters

• 12.21 meters

• 29.56 meters

• 14.55 meters

CAH: cos(θ) = adj÷hyp

​θ =

adj =

hyp =

Identify your sides and angle of interest!

Cosine

Multiple Choice

Use the cosine function to find the length of the adjacent side. Which variable are you solving for?

• x

• y

Multiple Choice

Use the cosine function to find the length of the adjacent side. Which of the following correctly sets up the equation we are going to solve?

• $$\cos\left(40\right)=\frac{y}{19}$$

• $$\cos\left(40\right)=\frac{x}{19}$$

• $$\cos\left(40\right)=\frac{19}{y}$$

• $$\cos\left(40\right)=\frac{y}{x}$$

Multiple Choice

Use the cosine function to find the length of the adjacent side. Which of the following is the length of the adjacent side?

• 19 meters

• 12.21 meters

• 29.56 meters

• 14.55 meters

Multiple Choice

Use trigonometry to find the length of the missing side x. Which function will we use to solve for x?

• sine

• cosine

Multiple Choice

Use trigonometry to find the length of the missing side x. Which of the following correctly sets up the equation we are going to solve?

• $$\cos\left(52\right)=\frac{x}{9}$$

• $$\sin\left(52\right)=\frac{x}{9}$$

• $$\cos\left(52\right)=\frac{y}{9}$$

• $$\sin\left(52\right)=\frac{y}{9}$$

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Multiple Choice

Use trigonometry to find the length of the missing side y. Which function will we use to solve for y?

• sine

• cosine

Multiple Choice

Use trigonometry to find the length of the missing side y. Which of the following correctly sets up the equation we are going to solve?

• $$\cos\left(52\right)=\frac{x}{9}$$

• $$\sin\left(52\right)=\frac{x}{9}$$

• $$\cos\left(52\right)=\frac{y}{9}$$

• $$\sin\left(52\right)=\frac{y}{9}$$

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TOA: tan(θ) = opp÷adj

​θ =

opp =

adj =

Identify your sides and angle of interest!

Tangent

Multiple Choice

Use the tangent function to find the length of the adjacent side. Which variable are you solving for?

• x

• y

Multiple Choice

Use the tangent function to find the length of the adjacent side. Which of the following correctly sets up the equation we are going to solve?

• $$\tan\left(50\right)=\frac{y}{9}$$

• $$\tan\left(50\right)=\frac{x}{9}$$

• $$\tan\left(50\right)=\frac{y}{x}$$

• $$\tan\left(50\right)=\frac{9}{x}$$

Multiple Choice

Use the tangent function to find the length of the adjacent side. Which of the following is the length of the adjacent side?

• 7.55 meters

• 10.73 meters

• 29.56 meters

• 14.55 meters

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