St. James-01-13-2025-Trig Ratios #4

Monday, January 13, 2025

I can use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles.​

Open Ended

Which ONE doesn't belong?

Choose ONE square.

State the letter A, B. C. or D

Then EXPLAIN why it doesn't belong using a complete sentence.

Open Ended

Type your school email address.

Reminder:
Everyday an assignment is late,
15% is deducted

​IXL Report

Using Trigonometry to Solve for Missing Sides & Angles

Objective: ​I can use the sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles.​

STEP 1:

Label your Sides and the given angle.

*Label your reference angle with the THETA SYMBOL
* Label only the sides you need:
Opposite, Adjacent, Hypotenuse
(You can use O, A, and H for short!)

​

STEP 2:

What am I Solving For?

What is given? What is missing?

Given:

22 = theta
x = adjacent side
30 = hypotenuse

​

STEP 3:

Which trig function do I need?
sin cos tan

Given:

22 = theta
x = adjacent side (A)
30 = hypotenuse (H)

​

STEP 4:

Write the TRIG EQUATION
YOU CANNOT SKIP THIS STEP

Given:

22 = theta
x = adjacent side (A)
30 = hypotenuse (H)

​

STEP 5:

cross mutiply and solve

​

​x = (cos 22) (30)

STEP 6:

cross mutiply and solve
Calculator
Time!

A. Click on the wrench in the upper right corner. Click on Degrees. SUPER IMPORTANT!

B. Click on Keyboard icon- then FUNCTIONS, then TRIG.

C. Enter trig expression.

D. Round to the nearest tenth (one decimal place).

​

STEP 7: cross mutiply and solve
27.81551563…
round to nearest ten-thousandth unless otherwise directed.
Why?
more decimal places = more accurate answer
27.81551563…
27.8155

​x = (cos 22) (30)

Draw

Draw theta on the angle

Label the given sides

Open Ended

Write the TRIG EQUATION to solve for x.

Math Response

What is the value of x?

Round to the nearest ten-thousandth place.

Type answer here

Correct Answer: 8.9200

Deg^°

Rad

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Finish Geometry
Q1 and Q2