Exploring Trigonometric Ratios

This video tutorial covers the basics of trigonometry, focusing on the study of triangle measurement. It explains the trigonometric ratios of sine, cosine, and tangent, and introduces the acronym SOHCAHTOA to help remember these ratios. The video includes practice problems to apply these concepts and demonstrates how to use the Pythagorean theorem to find missing sides of triangles. Additionally, it provides guidance on using calculators for trigonometric calculations, ensuring the calculator is set to the correct mode for accurate results.

What does trigonometry study?

• The study of algebraic expressions

• The study of square roots

• The study of triangle measurements

• The study of circles

What is the sine of an angle in a right triangle?

• Adjacent over hypotenuse

• Adjacent over opposite

• Opposite over adjacent

• Opposite over hypotenuse

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CCSS.HSG.SRT.C.6

How is cosine calculated in a right triangle?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

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CCSS.HSG.SRT.C.6

What is the mnemonic to remember trigonometric ratios?

• SOHCAHTOA

• TOHACSOH

• HOCASOTH

• COHSATOH

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CCSS.HSG.SRT.C.6

How do you find the length of the missing side using the Pythagorean theorem?

• a^2 - b^2 = c^2

• a^2 + b^2 = c^2

• b^2 + c^2 = a^2

• c^2 - a^2 = b^2

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CCSS.8.G.B.7

What ratio is used when you have opposite and hypotenuse?

• Sine

• Cosine

• Cotangent

• Tangent

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CCSS.HSG.SRT.C.6

Which trigonometric function do you use for adjacent over hypotenuse?

• Tangent

• Secant

• Sine

• Cosine

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CCSS.HSG.SRT.C.6

What is the result of sine 28 degrees if the hypotenuse is 19?

• 0.47

• 0.93

• 0.54

• 0.37

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CCSS.HSG.SRT.C.6

How do you find the length of the side opposite to a 33-degree angle if the hypotenuse is known?

• Use secant

• Use cosine

• Use tangent

• Use sine

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CCSS.HSG.SRT.C.6

What is the distance from the base of the house if a 12-foot ladder forms a 68-degree angle with the ground?

• 4.58 feet

• 27.54 feet

• 24.27 feet

• 8.12 feet

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CCSS.HSG.SRT.C.8