A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tan X, sinX, and cosX. tanX = 12 sin.X %3D 13 cos.X =

Q: Find angle A rounded to the nearest tenth of a degree when cos A = 0.4104.

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Q: Write cos ⁡ ( θ ) in terms of sin ⁡ ( θ ) if θ is an angle in quadrant II.

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Q: Consider the angle shown with an initial ray pointing in the 3-o'clock direction and the terminal…

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Q: Find the measure of cos-1 (-0.5) in degrees and radians.

A: cos-1-0.5

Q: A right triangle has side lengths d, e, and f as shown below. Use these lengths to find tanx, sin x,…

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Q: Find csc θ if cot θ = −48/55 and sin θ > 0.

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Q: Find the value of csc ? given that cos ? = 0.2632 and ? is an acute angle. Round to four decimal…

A:

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.