Question

In triangle ABC, angle C is a right angle. Find the value of the trig function.

Find the tan(A) if c = 10 and b = 8

Answer 1

`tan(A) = (3)/(4)`

Explanation:

Given

Right-angled triangle ABC

`c = 10`
`b = 8`

Required

Calculated tan(A)

First, we calculate the length of a.

Since the triangle is right-angled at C, then c is the hypotenuse and side a is the opposite of A.

So, we have:

`c^2 = a^2 + b^2`

`10^2 = a^2 + 8^2`

`100 = a^2 + 64`

`a^2 = 100 - 64`

`a^2 = 36`

Take square roots

`a = 6`

So:

`tan(A) = (a)/(b)`

`tan(A) = (6)/(8)`

`tan(A) = (3)/(4)`