#trig identities
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(i) Expand out the RHS using the formula for $\sin(A-B)$ \ \ (ii) Substitute the result from (i)
Civil Service Pigeon
Sorry still a bit confused
Substitute the given identity into the equation given to solve and solve the resulting equation (just one sine term equal to a constant) by the methods you know.
sin(a-b)=sin a cos b - sin b cos a
OmegaNebulaPyx
and we need to find it equal to 7
OmegaNebulaPyx
and then we solve