Question

If 3 sin = 4 cos
tan = sin/cos
why the answer is tan = 4/3 ??​

Answer 1

Answer:

4cosθ−sinθ

=

2cosθ+sinθ

4cosθ−sinθ

×

cosθ

cosθ

----------( Multiply and divide by cosθ )

=

cosθ

2cosθ+sinθ

cosθ

4cosθ−sinθ

=

2+

cosθ

sinθ

4−

cosθ

sinθ

=

2+tanθ

4−tanθ

=

2+

3

4

4−

3

4

=

6+4

12−4

=

10

8

=

5

4