Question

If sin theta=0.5 then cos theta tan theta sec theta cot theta

Answer 1

Answer:

The values for cosФ, tanФ, secФ and cotФ are $\frac{\sqrt{3} }{2}$, $\frac{1}{\sqrt{3} }$, $\frac{2}{\sqrt{3} }$ and √3 respectively.

Step-by-step explanation:

Given sinФ=0.5

⇒sinФ=1/2

⇒Ф=sin⁻¹(1/2)

⇒Ф=30°

To find cosФ, tanФ, secФ and cotФ

→cosФ=cos30°=$\frac{\sqrt{3} }{2}$

→tanФ=tan30°=$\frac{1}{\sqrt{3} }$

→secФ=sec30°=$\frac{2}{\sqrt{3} }$     (Also secФ=1/cosФ)

→cotФ=cot30°=√3     (Also cotФ=1/tanФ)