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stellarik [79]
3 years ago
13

Verify the identity

e="csc^{2}x-csc^{2}xcos^{2}x=1" alt="csc^{2}x-csc^{2}xcos^{2}x=1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

The answer to your question is below

Step-by-step explanation:

                               csc²x - csc²x cos²x = 1

Process

1.- Convert the second term to sines

                             csc²x - cos²x/sin²x = 1

2.- Convert cos²x/sin²x to cot²x

                             csc²x - cot²x = 1

3.- Solve for csc²x

                             csc²x = 1 + cot²x

We have verified it, because there is a Pythagorean identity which sets that

                              csc²x = 1 + cot²x

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