SOLUTION: Compute for the value of x, (tan θ + cot θ)^2 sin^2 θ - tan^2 θ = X

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Question 1182547: Compute for the value of x, (tan θ + cot θ)^2 sin^2 θ - tan^2 θ = X
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Compute for the value of x,
...use identities for tan+%28theta%29,+cot+%28theta%29





......use identity sin%5E2%28theta%29%2B+cos%5E2%28theta%29=1







%281%2Fcos%5E2%28theta%29%29++-+%28sin%5E2%28theta%29+%2Fcos%5E2%28theta%29%29+=+x

%281++-+sin%5E2%28theta%29+%29%2Fcos%5E2%28theta%29+=+x.........use identity 1++-+sin%5E2%28theta%29+=cos%5E2%28theta%29

cos%5E2%28theta%29%2Fcos%5E2%28theta%29%29+=+x

1+=+x