If tan x° = a divided by 4 and cos x° = 4 divided by b, what is the value of sin x°?

Solution:

It is given that

tan x° = a divided by 4

tan x° = a/4

cos x° = 4 divided by b

cos x° = 4/b

Based on the trigonometric identities

tan x = sin x/ cos x

sin x = tan x × cos x

Substituting the values

sin x = a/4 × 4/b

sin x = a/b

Therefore, the value of sin x° is a/b.

If tan x° = a divided by 4 and cos x° = 4 divided by b, what is the value of sin x°?

Summary:

If tan x° = a divided by 4 and cos x° = 4 divided by b, the value of sin x° is a/b.