Question

Plzz any help please​

Answer 1

9

Explanation:

If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.

Now, we have to find the value of

`4\tan^2(45)`

and

`5\tan(45)`

The tangent of 45 is 1, so 1 squared times 4 is 4.

We have
`4\tan^2(45) = 4`.

Again, the tangent of 45 is 1, and 1 times 5 is 5.

We have
`5\tan(45) = 5`

5 + 4 = 9