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How do you use #csctheta=5# to find #sintheta#?

Answer 1

Violet Anderson

#csctheta=5# #1/sintheta=5# #1=5sintheta# #sintheta=1/5#

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Answer 2

Asher Friedman

#1/5#

#csc theta = 1/(sin theta)# hence #sin theta = 1/csc theta#

Thus if #csctheta # is 5, #sin theta# would be #1/5#

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Answer 3

Elijah Alexander

To find sin(theta) when given that cos(theta) = 5, you can use the Pythagorean identity for trigonometric functions. First, recognize that cos(theta) = adjacent/hypotenuse, and since it's given as 5, you can represent the adjacent side as 5 and the hypotenuse as 1. Then, using the Pythagorean theorem, you can find the length of the opposite side (sin(theta)). So, sin(theta) = sqrt(1^2 - 5^2) = sqrt(1 - 25) = sqrt(-24). Since the square root of a negative number isn't a real number, there's no real solution for sin(theta) when cos(theta) = 5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.