Question

if 3 cos a = 2 sin a , then the value of 4 sin a - 3 cos a/2 sin a + 6 cos a will be ?

Answer 1

3 cos a = 2 sin a

=> 6cos a = 4 sin a

[ multiply 2 on both sides ]

=> 3 cos a / 2 sin a = 1

4sin a - 3cos a/2sin a + 6cos a

=>6 cos a -1 + 6 cos a

=> 12cos a - 1