Precalculus : Use Pythagorean Identities

Study concepts, example questions & explanations for Precalculus

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Example Questions

Example Question #292 : Pre Calculus

Simplify .

Possible Answers:

Correct answer:

Explanation:

Write the Pythagorean Identity.

Reorganize the left side of this equation so that it matches the form:   

Subtract cosine squared theta on both sides.

Multiply both sides by 3.

Example Question #293 : Pre Calculus

Which of the following is equivalent to the following expression?

Possible Answers:

 

Correct answer:

 

Explanation:

Which of the following is equivalent to the following expression?

Recall our Pythagorean trig identity:

It can be rearranged to look just like our numerator:

So go ahead and change our original expression to:

Then recall the definition of cosecant:

So our original expression can be rewritten as:

So our answer is:

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