Question

Which of the following expressions can be used to complete the equation below?

Answer 1

`\tan x \sin x`

Explanation:

`(\sec x)/(1 + \cot^2 x) =`

`= ((1)/(\cos x))/(1 + (\cos^2 x)/(\sin^2 x))`

`= ((1)/(\cos x))/((\sin^2 x)/(\sin^2 x) + (\cos^2 x)/(\sin^2 x))`

`= ((1)/(\cos x))/((\sin^2 x + \cos^2 x)/(\sin^2 x))`

`= ((1)/(\cos x))/((1)/(\sin^2 x))`

`= (\sin^2 x)/(\cos x)}`

`= (\sin x)/(\cos x)\sin x`

`= \tan x \sin x`

Answer 2

Answer: trigonometric identities

1 C sin^2

2 B csc x(csc x-1)

3 D 1-sin theta/ csc theta

4 D tan x sin x

5 A cos x cot2 x