Question

F5 10 theta is equal to 3 then what is the value of 5 sin theta minus 3 cos theta upon 4 sin theta + 3 cos theta.?
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Answer 1

Answer:

Divide the numerator and denomenator by cosθ

cosθ

5sinθ+2cosθ

cosθ

5sinθ−3cosθ

⇒

cosθ

5sinθ

+

cosθ

2cosθ

3cosθ

5sinθ

−

cosθ

3cosθ

⇒

5tanθ+2

5tanθ−3

Substituting the value of 5tanθ, we get

⇒

4+2

4−3

=

6

1