Audrey J.

asked • 01/24/21

Trigonometry URGENT

Use trigonometric identities to transform one side of the equation into the other LaTeX: \left(0<\theta<\frac{\pi}{2}\right). (csc 0 + cot 0))csc 0 - cot 0)=1 LaTeX: \left(\csc\theta+\cot\theta\right)\left(\csc\theta-\cot\theta\right)=1 LaTeX: \left(\csc\theta+\cot\theta\right)\left(\csc\theta-\cot\theta\right)=1v LaTeX: \left(\csc\theta+\cot\theta\right)\left(\csc\theta-\cot\theta\right)=1     .

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James C. answered • 01/24/21

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(cscx + cotx)(cscx - cotx) = 1

When we multiply the quantities on the left, we get...

csc2x - cot2x

Using one of the Pythagorean Identities, 1+cot2x = csc2x, we can substitute for the csc2x term...

1 + cot2x - cot2x = 1

And there you have it.

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