Finding Missing Angles Using Trig Ratios

Front

What does SOH CAH TOA stand for in trigonometry?

Back

SOH CAH TOA is a mnemonic to remember the definitions of the sine, cosine, and tangent ratios: Sine = Opposite/Hypotenuse (SOH), Cosine = Adjacent/Hypotenuse (CAH), Tangent = Opposite/Adjacent (TOA).

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Front

What is the sine ratio?

Back

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Front

What is the cosine ratio?

Back

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Front

What is the tangent ratio?

Back

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Front

How do you find a missing angle in a right triangle using trigonometric ratios?

Back

To find a missing angle, use the inverse trigonometric functions (arcsin, arccos, arctan) based on the known sides of the triangle.

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Front

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

Back

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If the adjacent side is 4 and the hypotenuse is 5, what is the cosine of the angle?

Back

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Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

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Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.

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Front

How do you use trigonometric ratios to solve for an angle?

Back

Use the appropriate trigonometric ratio based on the sides you know, then apply the inverse function to find the angle.

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