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Is sine always greater than cosine?

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Is sine always greater than cosine?

Three sides for Right Triangle For the three sides of a triangle, the two sides that are not the hypotenuse (opposite & adjacent) will never be larger than the hypotenuse. They can be equal to the hypotenuse, so you can get results of the sine and cosine functions being equal to one.

Could the sine or cosine of an angle be greater than 1?

No: If you let θ be an angle in a right angled triangle, we know that sin(θ) is equal to OppositeHypotenuse. We know that the Hypotenuse is never shorter than the line Opposite the angle θ, so this fraction can never exceed 1.

At what angle are sin and cos equal?

90
The sine and cosine of complementary angles are equal. 90o- 30o=60o,so 60o is complementary to 30o.

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What value can sine and cosine never exceed?

Note: Since the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse, the values will never be more than 1, because (some number) / (a bigger number) from a right triangle is always going to be smaller than 1.

Can sine be greater than?

A = 1 is if a = c, but that would make for a strange triangle!), the sine ratio cannot be greater than 1.

Can a sine ratio be greater than 1?

A = 1 is if a = c, but that would make for a strange triangle!), the sine ratio cannot be greater than 1. Figure 20.4 A right triangle with side lengths a and b, and hypotenuse length c. Find the sine ratio of that angle.

Are sin and cos supplementary angles?

cos(180°-θ) = – cos θ & sin(180°-θ) = sin θ. These are the supplementary angle identities. Although the diagram shows the angle θ in the first quadrant, the same conclusion can be reached when θ lies in any quadrant, and so the supplementary angle identities hold for all angles θ.

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Why are the values for sine and cosine equal at 45?

In an equilateral triangle, the hypotenuse and its opposite side are equal. This means that sine and cosine at 45 degrees equal 1. In an isosceles triangle, the hypotenuse and its opposite side are equal. This means that sine and cosine at 45 degrees equal 1.