SOLUTION: if 7 sin square A + 3 cos square A=4 , find the value of sec A + cosec A

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Question 741216: if 7 sin square A + 3 cos square A=4 , find the value of sec A + cosec A
Answer by lwsshak3(11628) About Me  (Show Source):
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if 7 sin square A + 3 cos square A=4 , find the value of sec A + cosec A
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7sin%5E2%28A%29%2B3cos%5E2%28A%29=4
7%281-cos%5E2%28A%29%29%2B3cos%5E2%28A%29=4
7-7cos%5E2%28A%29%2B3cos%5E2%28A%29=4
-4cos%5E2%28A%29=-3
cos%5E2%28A%29=3%2F4
cos(A)=√3/2
A=30º
sec(A)=2/√3=2√3/3
csc(A)=2