Maximum trig value without calculus

Could anybody advise me how to find the maximum and minimum values of the following equations? (Or just one so I know how to do the others☺️)

Sinxcos10-cosxsin10
Cos30cosx-sin30sinx
Sinx+cosx
7cos2x+24sin2x {=25cos(2x-1.29)}

Thanks


Posted from TSR Mobile

they require slightly different techniques, based on the compound angle formulas,but essentially writing them as single sine or cosine and using the fact that sin/cos oscillate between -1 and 1 is what you need

So it's a matter of writing it as a single sin/cos and subbing in 1 and -1 ?


Posted from TSR Mobile