SOLUTION: Please help me solve this question : if 5 sin P = 12 cos P find the value of sin P

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Question 989754: Please help me solve this question : if 5 sin P = 12 cos P find the value of sin P
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
.
Recall that sin%5E2%28P%29 + cos%5E2%28P%29 = 1.

Let  x = sin(P).

Then

5x%5E2 = 12%2A%281-x%5E2%29.

Solve this quadratic equation.

5x%5E2 = 12%2A-12x%5E2%29,

17x%5E2 = 12,

x = +/- sqrt%2812%2F17%29.

Answer.  sin(P) = +/- sqrt%2812%2F17%29.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
5+sin+%28P%29+=+12+cos%28+P%29
sin+%28P%29+%2Fcos%28+P%29=+12+%2F5
tan%28+P%29=+12+%2F5
p=arctan%28++12+%2F5%29 or p=tan%5E-1%28++12+%2F5%29
P=1.176+(result in radians)
P=67.38°