Understanding Secant, Cosecant, and Cotangent - High School Math

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Question

An angle has a cosine of . What will its cosecant be?

Answer

The problem tells us that the cosine of the angle will be . Cosine is the adjacent over the hypotenuse. From here we can use the Pythaogrean theorem:

Now we know our opposite, adjacent, and hypotenuse.

The cosecant is .

From here we can plug in our given values.

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Question

Which of these is equal to for angle ?

Answer

, as it is the inverse of the function. This is therefore the answer.

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