Question

How do you solve `4sinx=-2sinx-5`?

Answer 1

`x = npi -(-1)^nsin^(-1)(5/6)`

Explanation:

`4sinx=-2sinx-5`

`rArr 6sinx=-5`
`rArrsinx=-5/6`

Now writing down the general solution for `sinx=sintheta` :-

`rArr x = npi +(-1)^nsin^(-1)(-5/6)`

`:. x = npi -(-1)^nsin^(-1)(5/6)`.........{`sin^(-1)(-theta)=-sin^(-1)theta`}

Here `n` is any Integer value.