In Exercises 25–30, use an identity to find the value of each exp...

Question

In Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator.sin 37° csc 37°

Accepted Answer

Hello, everybody I have written today today. We're going to look at this question that states without using a calculator, determine the value of the following trigonometric expression where the expression is open parentheses, sign of 22.3 degrees closed parentheses, multiplying open parentheses, closet cans of 22.3 degrees closed parentheses. Now, the estrogens provided are a zero B negative one C two and D one. Now you might be asking yourself how can I do this without a calculator? Well, as you'll see now, it's actually very simple. All we're going to have to do is rewrite what we have by using certain identities that we know and certain relationships. So let's recall what exactly cos is. So recall that cos theta is equal to one divided by sine theta. And look at that we have sine data in our other part of the question. So let's rewrite our equation. Now, we have sine of 22.3 degrees multiplying we had cos of 22.3 degrees, but we see how we can go from cos to sine. So we have one divided by sine of 22.3 degrees and you might start to see how we're going to do this. If we distribute this, we'll have a sign of 22.3 degrees divided by sine of 22.3 degrees. And what happens if we have the same number in the numerator and the denominator of a fraction, that fraction equals one. So after looking at a problem that might look a bit complicated with sine cosine in some degrees, we see that by just rearranging it, we see that this question would only be equal to one which is choice D. So I hope that was helpful. And until next time.

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In Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator.sin 37° csc 37°

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