SOLUTION: What happens to cos θ as θ approaches 90 degrees? Why? What happens to sin θ as θ approaches 90 degrees? Why? What happens to tan θ as θ approaches 90 degrees? Why?

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Question 1185158: What happens to cos θ as θ approaches 90 degrees? Why?
What happens to sin θ as θ approaches 90 degrees? Why?
What happens to tan θ as θ approaches 90 degrees? Why?
Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!

What happens to as approaches degrees? Why?
answer: Right -angled triangle!
All triangles have 3 angles that add to degrees. Therefore, if one angle is degrees we can figure out and .

cos


What happens to as approaches degrees? Why?
As the angle approaches 90 degrees, the triangle will be compressed horizontally and the cosine approaches .
sin


What happens to as approaches degrees? Why?
At zero degrees this tangent length will be zero. Hence, . As our first quadrant angle increases, the tangent will increase very rapidly. As we get closer to degrees, this length will get incredibly large. At degrees we must say that the tangent is , because when you divide the leg opposite by the leg adjacent you cannot divide by zero.
tan

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