<h3>
Answer: B) none of the equations are identities</h3>
Explanation:
If you plug theta = 0 into the first equation and simplify, then you'll get
4*(sin^2(theta)-cos^2(theta)-tan^2(theta)) = 4*tan(theta)*csc(theta)
4*(sin^2(pi/4)-cos^2(pi/4)-tan^2(pi/4)) = 4*tan(pi/4)*csc(pi/4)
4*(1/2 - 1/2 - 1) = 4*1*sqrt(2)
-4 = 5.66
we get a false equation, so the first equation is not an identity.
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Plug theta = pi/4 into the second equation
17*((1-cos^2(theta))/(cos^2(theta)) = 17*sin^2(theta)
17*((1-cos^2(pi/4))/(cos^2(pi/4)) = 17*sin^2(pi/4)
17*((1-1/2)/(1/2)) = 17*(1/2)
17 = 8.5
which is a false equation, so this isn't an identity either.