Trig Practice Set Part 1 (SAT & SOL Applications)

1. Degree to Radian Conversion (Easy)

Convert: $150^\circ$ to radians.

2. Radian to Degree Conversion (Easy)

Convert: $\frac{7\pi}{6}$ to degrees.

3. SOH-CAH-TOA Triangle (Easy)

Visual

Draw:

• right triangle (bottom right angle is 90 degrees(
• acute angle at bottom left labeled $\theta$
• opposite side of $\theta$ = 6
• hypotenuse = 10

Find:

• $\sin\theta$
• $\cos\theta$

4. Tangent Relationship (Easy-Medium)

Visual

Draw:

• right triangle
• adjacent = 8
• opposite = 15

Find:

• $\tan\theta$
• hypotenuse

5. Coordinate Point → Trig (Easy-Medium)

The point on the unit circle is:

$\left(\frac{\sqrt3}{2},\frac12\right)$

Find:

• cosine
• sine

6. Unit Circle Recognition (Medium)

Find: $\sin(0)$ and $\cos(2\pi)$

7. Hidden Rotation Question (Medium)

Find: $\sin(18\pi)$

8. Hidden Cosine Coordinate Question (Medium)

A point on the unit circle has coordinates: $\left(-\frac12,\frac{\sqrt3}{2}\right)$

What is $\cos(\theta)$ ?

9. Pythagorean + Trig Blend (Medium)

Visual

Draw:

• right triangle
• hypotenuse = 13
• one leg = 5

Find:

• missing side
• sine
• cosine
• tangent