Given that tan x =3/7find cos (90-x) giving you answer in 4 significant figures​

Step-by-step explanation:

We are given that:

And we want to find the value of:

Recall that by definition, tan(θ) = sin(θ) / cos(θ). Hence:

And by definition, sin(θ) = cos(90° - θ). Hence:

Multiply:

Find cosine. Recall that tangent is the ratio of the opposite side to the adjacent side. Therefore, the opposite side is 3 and the adjacent side is 7.

Thus, by the Pythagorean Theorem, the hypotenuse will be:

Cosine is the ratio of the adjacent side to the hypotenuse. Therefore:

Thus:

Use a calculator. Hence:

step-by-step explanation: