Question

5cos+3sina/3sina-2cosa

Answer 1

5cos+sina=5cos+3ansi

3sina-2cosa=3ansi-2acos

Answer 2

It seems like you want to simplify the expression (5cos + 3sin)/(3sin - 2cos). To do this, you can use trigonometric identities, specifically the Pythagorean identities, which relate sine and cosine:

1. sin^2(x) + cos^2(x) = 1

Let's manipulate your expression using this identity:

(5cos + 3sin)/(3sin - 2cos)

Now, let's divide both the numerator and denominator by cos to get rid of the fractions:

(5 + 3tan)/(3tan - 2)

This is the simplified expression, where tan(x) = sin(x)/cos(x):

(5 + 3tan)/(3tan - 2)

Depending on the context or any specific values of 'x' you have, you may be able to simplify it further, but this is the simplified form based on the given expression.