Why are the values for sine increasing when the angle increases from 0° to 90°? A. The hypotenuse is decreasing during that interval. B. The opposite side is increasing during that interval, while the hypotenuse is staying the same. C. The adjacent side is increasing during that interval, while the hypotenuse is staying the same. D. Similar triangles always have proportional sides.

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A: Period of the transformation

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A: Use trigonometry relations.

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Q: The functions that are negative for e = 315° cot sec Csc sin COS cos tan

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A: Let the angle is ∅

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A: First sketch a triangle for the given measures as shown below.

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Q: If sin y° =  9/c and tan y° = 9/d, what is the value of cos y°?

A: We know that, tan y°=sin y°/cos y°, So, cos y°=sin y°/tan y°.

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Q: If cost =3/7 and t is in 3rd quadrant, then sint is

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.