The value of tangent x is given. Find sine x and cos x if x lies in the specified interval. tan x = 21, x is an element of [0, pi / 2]

sin x = 0.998

cosx = 0.046

Step-by-step explanation:

Given that:

tan x = 21

where interval of x is .

We know that the trigonometric identity for tan x is:

Comparing with:

Perpendicular = 21 units

Base = 1 unit

As per pythagorean theorem:

interval of x is so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.

We know that

So, sine x :

Similarly, value of cos x :

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step-by-step explanation:

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