This weeks goal is to teach you how to solve an angle and side lengths in the Trigonometry Unit.

Vocabulary:

SOH: S = or Sine =

CAH: C = or Cosine =

TOA: = or Tangent =

i) Question One: What is the Angle of JEP to the nearest degree? (How to find an angle knowing two side lengths)

**Step 1: Label the triangle **

*According to the reference angle

- Across from the reference angle is called the opposite side (O)
- Across from the angle is the hypotenuse (H)
- And the left over side is the adjacent side (A)

**Step 2: Determine which ratio to use**

Use the clues from the triangle. We will be using Cosine because we have the clues from the Adjacent and hypotenuse sides. (CAH)

** **

** **

**Step 3: Write the equation**

The cos angle is unknown so we will be writing it like :

**Step 4: Get the variable by itself/Solve**

*when moving the COS to the other side of the equation it becomes

ii) Question two: What is the side length of AP to the nearest degree. (How to find the side length of a triangle knowing one side length and one angle.)

** **

**Step 1: Label the Triangle**

*According to the reference angle

**Step 2: Determine the ratio**

Use the clues from the triangle. We will be using Tangent because we have the clues from the adjacent and opposite sides. (TOA)

**Step 3: Write the equation/Solve**

*We don’t want the variable on the bottom. Reciprocate the fraction and what you do to one side you do to the other.

X= 50cm

iii) Question Three: What is the side length of AK to the nearest degree. (How to find the side length knowing one side length and one angle .)

**Step 1: Label the Triangle**

*According to the reference angle

**Step 2: Determine the ratio**

Use the clues from the triangle. We will be using Sine because we have the clues from the hypotenuse and opposite sides. (SOH)

**Step 3: Write the equation/Solve**

*We don’t want the variable on the bottom. Reciprocate the fraction and what you do to one side you do to the other.

X= 51 cm