Question

Need some help with trigonometry

Answer 1

The answers are :

e) B

f) A

For part (e), convert into terms of cosθ.

• secθ = 1/cosθ
• cosθ = 1/√2
• θ = cos⁻¹ (1/√2)
• θ = 45°

For part (f), convert into terms of tanθ.

• cotθ = 1/tanθ
• cotθ = 1/√3
• θ = cot⁻¹ (1/√3)
• θ = 30°

Answer 2

e) B. 45°

f) A. 30°

Explanation:

e) sec theta = 1/ cos theta

the value of cos theta is 1/√2 at 45°

so , sec 45° = √2 and theta = 45°

f) cot theta = 1/ tan theta

the value of tan theta is 1/ √3 at 30°

so, cot 30° = √3 , theta = 30°