Right Angle Trigonometry

Unit 7

Right Triangle Trigonometry

Start

index

5. Finding Side Lengths

1. Vocabulary

6. Special Right Triangles

3. Pythagorean Theorem

2. Trigonometric Ratios

7. Area of Triangles

8. Inverse Trig Functions

4. Calculator

Vocabulary

Right Triangle: A triangle with a 90 degree angle. Hypotenuse: The side of a right triangle that does NOT touch the right angle. Adjacent side: The side that is next to the given angle. Oppostite side: The side that does NOT touch the given angle.

Pythagorean TheoremUsed to find a 3rd side of a right triangle a + b = c

Flocabulary Rap

Example Video

Trigonemetric Ratios

Given Angle Measurements: Sin (A) = opposite/hypotenuse SOH Cos(A) = adjacent/hypotenuse CAH Tan(A) = opposite/adjacent TOA

Desmos Calculator

Be sure your calculator is in degree mode! To get inverse trig functions: Click on func.

Finding a Side lengths

Special Right Triangles

45-45-90

30-60-90

Click below to see examples

Click below to see examples

Area of a Triangle

Right Triangle

Non-right Triangle

When you know the base and the height:A = 1/2 bh

A = 1/2 bc sin (A) A = 1/2 ac sin (B) A= 1/2 ab sin (C)

vs

FINDING SIDES

FINDING ANGLES

Sine sin (A) = opp/hyp

COSine Cos (A) = adj/hyp

Know the angle measure and either opposite side or hypotenuse.

Know the angle measure and either the adjacent side or the opposite side

Tangent Tan (A) = opp/adj

Know the angle measure and either the adjacent side or the hypotenuse

Inverse Sine SIN (a)=OPP/HYP

Inverse Cosine cos (A) = adj/hyp

Know the opposite side and hypotenuse.

Know the adjacent side and the hypotenuse

Inverse Tangent tan (A) = opp/adj

Know the opposite side and adjacent

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