Trigonometric Ratios Review

Trigonometric Ratios Review

Geom.9A Determine the lengths of sides and measures of angles in a right triangle by
applying the trigonometric ratios sine, cosine, and tangent to solve problems.

•LO: SWBAT determine the lengths of the sides and measures of angles in a right triangle by applying the correct trig ratio to solve problems. 

•DOL: Given 25 problems, students will determine the lengths of the sides and measures of angles in a right triangle by applying the correct trig ratio to solve problems in at least 20 of 25 problems. 

Match

Match the Trigonometric Ratios

• Sine

• Cosine

• Tangent

• $$\frac{Opposite}{Hypotenuse}$$

• $$\frac{Adjacent}{Hypotenuse}$$

• $$\frac{Opposite}{Adjacent}$$

​Sine Ratio & Formulas

Match

Match the Sine Formulas

• Sine Ratio

• Find Opposite

• Find Hypotenuse

• Inverse Sine

• $$\frac{Opposite}{Hypotenuse}$$

• $$\sin\Theta\ \times\ \left(Hypotenuse\right)$$

• $$\frac{Opposite}{Sin\ \Theta}$$

• $$Sin^{-1}\left(\frac{Opposite}{Hypotenuse}\right)$$

​Sine Formula Practice - Whiteboard

Math Response

Identify SIN C

(Reduce to smallest form)

Type answer here

Correct Answer: \frac{3}{5}

Deg^°

Rad

Math Response

Identify SIN B

(Reduce to smallest form)

Type answer here

Correct Answer: \frac{5}{6}

Deg^°

Rad

Math Response

SIN: Find Opposite Side

Round to two decimal places.

Type answer here

Correct Answer: 37.42

Deg^°

Rad

Math Response

SIN: Find Opposite Side

Round to two decimal places.

Type answer here

Correct Answer: 3.60

Deg^°

Rad

Math Response

SIN: Find Hypotenuse

Round to two decimal places.

Type answer here

Correct Answer: 33.07

Deg^°

Rad

Math Response

SIN: Find Hypotenuse

Round to two decimal places.

Type answer here

Correct Answer: 48.10

Deg^°

Rad

Math Response

SIN: Find the Reference Angle

Round to two decimal places.

Type answer here

Correct Answer: 41.81

Deg^°

Rad

​Cosine Ratio & Formulas

Match

Match the Cosine Formulas

• Cosine Ratio

• Find Adjacent

• Find Hypotenuse

• Inverse Cosine

• $$\frac{Adjacent}{Hypotenuse}$$

• $$Cos\ \Theta\ \left(Hypotenuse\right)$$

• $$\frac{Adjacent}{Cos\ \Theta}$$

• $$Cos^{-1}\left(\frac{Adjacent}{Hypotenuse}\right)$$

​Cosine Formula Practice - Whiteboard

Math Response

Identify Cos C

(Reduce to smallest form)

Type answer here

Correct Answer: \frac{4}{5}

Deg^°

Rad

Math Response

Identify Cos B

(Reduce to smallest form)

Type answer here

Correct Answer: \frac{3}{5}

Deg^°

Rad

Math Response

COS: Find Adjacent Side

Round to two decimal places.

Type answer here

Correct Answer: 29.54

Deg^°

Rad

Math Response

COS: Find Adjacent Side

Round to two decimal places.

Type answer here

Correct Answer: 27.05

Deg^°

Rad

Math Response

COS: Find Hypotenuse

Round to two decimal places.

Type answer here

Correct Answer: 47.44

Deg^°

Rad

Math Response

COS: Find Hypotenuse

Round to two decimal places.

Type answer here

Correct Answer: 28.91

Deg^°

Rad

Math Response

COS: Find the Reference Angle C

Round to two decimal places.

Type answer here

Correct Answer: 49.46

Deg^°

Rad

​Tangent Ratio & Formulas

Match

Match the Tangent Formulas

• Tangent Ratio

• Find Opposite

• Find Adjacent

• Inverse Tangent

• $$\frac{Opposite}{Adjacent}$$

• $$Tan\ \Theta\ \left(Adjacent\right)$$

• $$\frac{Opposite}{Tan\ \Theta}$$

• $$Tan^{-1}\left(\frac{Opposite}{Adjacent}\right)$$

​Tangent Formula Practice - Whiteboard

Math Response

Identify TAN A

(Reduce to smallest form)

Type answer here

Correct Answer: \frac{3}{2}

Deg^°

Rad

Math Response

Identify TAN C

(Reduce to smallest form)

Type answer here

Correct Answer: \frac{2}{1}

Deg^°

Rad

Math Response

TAN: Find the Adjacent Side

Round to two decimal places.

Type answer here

Correct Answer: 362.54

Deg^°

Rad

Math Response

TAN: Find the Adjacent Side

Round to two decimal places.

Type answer here

Correct Answer: 320.04

Deg^°

Rad

Math Response

TAN: Find the Opposite Side

Round to two decimal places.

Type answer here

Correct Answer: 6.71

Deg^°

Rad

Math Response

TAN: Find the Opposite Side

Round to two decimal places.

Type answer here

Correct Answer: 7.70

Deg^°

Rad

Math Response

TAN: Find the Reference Angle

Round to two decimal places.

Type answer here

Correct Answer: 56.31

Deg^°

Rad