Question

Use basic identities to simplify the expression: sinΘ cosΘ secΘ cscΘ

a) sec2Θ
b) csc2Θ
c) 1
d) tan2Θ

Answer 1

Since
`\sec=\frac{1}\cos,\csc=\frac{1}\sin`, we have
`\sin\cos\sec\csc=(\sin\cos)/(\sin\cos)=\boxed{1}`