Question

Simplify sin θ/cosθ tan θ to a number or a single trigonometric function

Answer 1

The answer is below

Explanation:

Trigonometric functions are functions used in right angled triangles to relate an angle in the triangle to the ratio of two side. The most common trigonometric functions are the sine, the cosine, and the tangent.

Some trigonometric identities are:

secθ = 1/ cosθ, cosecθ = 1 / sinθ, tanθ = sinθ / cosθ, cotθ = 1 / tanθ = cosθ / sinθ.

Hence simplifying the question:

`(sin\theta)/(cos\theta tan\theta) =(sin\theta)/(cos\theta *(sin\theta)/(cos\theta) )\\\\=(sin\theta)/(sin\theta)\\\\=1`