Here is a worksheet on trigonometry:

1. Find the value of sin 30°, cos 45°, and tan 60°.

2. If sin θ = 0.6, find the value of cos θ and tan θ.

3. Find the value of sin (π/4), cos (π/6), and tan (π/3).

4. If cos θ = -0.8, find the value of sin θ and tan θ.

5. Find the value of sin 45° + cos 45°.

6. If tan θ = 1/√3, find the value of sin θ and cos θ.

7. Find the value of sin 60° cos 30° - cos 60° sin 30°.

8. If sin θ = 3/5, find the value of cos θ and tan θ.

9. Find the value of sin 2θ if sin θ = 0.4.

10. If cos θ = -1/2, find the value of sin 2θ.

Answers:

1. sin 30° = 0.5, cos 45° = 0.707, tan 60° = √3

2. cos θ = √(1 - sin^2 θ) = 0.8, tan θ = sin θ/cos θ = 0.75

3. sin (π/4) = cos (π/4) = √2/2, cos (π/6) = √3/2, tan (π/3) = √3

4. sin θ = √(1 - cos^2 θ) = √(1 - 0.64) = ±0.8, tan θ = sin θ/cos θ = ±1

5. sin 45° + cos 45° = √2/2 + √2/2 = √2

6. sin θ = sin arctan(1/√3) = 1/2, cos θ = √(1 - sin^2 θ) = √3/2

7. sin 60° cos 30° - cos 60° sin 30° = (1/2)(√3/2) - (√3/2)(1/2) = 0

8. cos θ = √(1 - sin^2 θ) = -0.6, tan θ = sin θ/cos θ = -0.67

9. sin 2θ = 2 sin θ cos θ = 0.48

10. sin 2θ = 2 sin θ cos θ = 2(-1/2)(√3/2) = -√3