Exploring Trigonometric Ratios in Right Angled Triangles

The video tutorial introduces trigonometric ratios, focusing on the concept of contrast using sine and cosine. It uses a right-angle triangle to demonstrate how sine and cosine can yield the same ratio. The tutorial explains the calculation of sine theta and cosine of 90 minus theta, emphasizing their relationship. Additional resources and subscription information are provided at the end.

What does the concept of 'contrast' in trigonometry involve?

• Finding the average of trigonometric ratios

• Comparing similar trigonometric functions

• Highlighting differences by comparing opposite trigonometric ratios

• Calculating the sum of sine and cosine

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CCSS.HSG.SRT.C.7

What is the hypotenuse length of the triangle discussed?

• 5 units

• 4 units

• 3 units

• 6 units

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CCSS.8.G.B.7

How is the sine of an angle in a right triangle defined?

• Hypotenuse over opposite

• Opposite over hypotenuse

• Opposite over adjacent

• Adjacent over hypotenuse

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CCSS.HSG.SRT.C.6

What is the sine of theta in the given triangle?

• 5/3

• 3/5

• 4/5

• 3/4

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CCSS.HSG.SRT.C.6

What does cos(90 - theta) equal in terms of sine?

• sin(theta)

• cos(theta)

• sin(90 - theta)

• 1 - sin(theta)

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CCSS.HSF.TF.C.9

What is the adjacent side's length to the angle theta?

• 4 units

• 5 units

• 6 units

• 3 units

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CCSS.HSG.SRT.C.6

How are the sine and cosine ratios of complementary angles related?

• They are equal

• They are unrelated

• They sum up to 1

• They are inversely proportional

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CCSS.HSG.SRT.C.7

What is the value of cos(90 - theta) in the example provided?

• 3/5

• 5/3

• 3/4

• 4/5

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CCSS.HSG.SRT.C.7

Why is it useful to compare sine and cosine of complementary angles?

• To simplify calculations

• To prove trigonometric identities

• To understand the concept of contrast

• All of the above

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CCSS.HSG.SRT.C.7

Where can additional trigonometry resources be found as mentioned in the video?

• In online forums

• On vividmaths.com

• In textbooks

• On YouTube

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CCSS.HSG.SRT.C.7