SOLUTION: prove that 15tan^2 +4sec^2 = 23

Question 792275: prove that 15tan^2 +4sec^2 = 23
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
prove that 15tan^2(x) +4sec^2(x) = 23
solve for x:

sin^2(x)=19/38=1/2
sin(x)=√1/√2
x=π/4
Check:
15tan^2(x)=15tan^2(π/4)15*1=15
4sec^2(x)=4/cos^2(π/4)=4/(1/2)=8
15tan^2(x)+15tan^2(x)=15+8=23
Given identity is true if x=π/4
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