SOLUTION: The graph of y-7 cosθ + 24 sinθ would be a sinusoid if it were plotted. What would be the first positive value of θ at which there is a high point?

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Question 964784: The graph of y-7 cosθ + 24 sinθ would be a sinusoid if it were plotted. What would be the first positive value of θ at which there is a high point?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
cos%28x-y%29=cos%28x%29cos%28y%29%2Bsin%28x%29sin%28y%29
So,
sqrt%287%5E2%2B24%5E2%29=25
7cos%28x%29%2B24sin%28x%29=25%28%287%2F25%29cos%28x%29%2B%2824%2F25%29sin%28x%29%29
cos%28y%29=7%2F25
sin%28y%29=24%2F25
7cos%28x%29%2B24sin%28x%29=25%28cos%28y%29cos%28x%29%2Bcos%28y%29sin%28x%29%29
7cos%28x%29%2B24sin%28x%29=25cos%28y-x%29
The first positive value of x is when,
x=y
x=cos%5E%28-1%29%287%2F25%29
x=73.7degrees or x=1.29rad