Trigonometric Functions and Ratios

The video tutorial covers the translation of points on a graph, focusing on moving one unit to the left while maintaining the y-coordinate. It then delves into calculating trigonometric ratios, specifically cosine and tangent, and simplifying these ratios. The tutorial also addresses solving right triangles by finding missing sides using trigonometric functions. Throughout, the use of mnemonic devices like SOH CAH TOA is emphasized to aid in understanding and solving problems.

What happens to the x-coordinate during the translation described in the video?

• It doubles.

• It remains the same.

• It decreases by one unit.

• It increases by one unit.

Tags

CCSS.HSG.SRT.C.6

In the context of the video, what is the cosine of angle A when the adjacent side is 24 and the hypotenuse is 40?

• 3/5

• 4/5

• 5/6

• 2/3

Tags

CCSS.HSG.SRT.C.6

How is the cosine of angle A simplified when the adjacent side is 36 and the hypotenuse is 45?

• 3/4

• 5/6

• 4/5

• 2/3

Tags

CCSS.HSG.SRT.C.6

What is the tangent of angle Z when the opposite side is 48 and the adjacent side is 14?

• 24/7

• 7/24

• 14/48

• 48/14

Tags

CCSS.HSG.SRT.C.6

What is the simplified form of the tangent of angle X when the opposite side is 40 and the adjacent side is 30?

• 3/4

• 4/3

• 5/6

• 2/3

Tags

CCSS.HSG.SRT.C.6

Which trigonometric ratio is used to find a missing side when given the opposite side and hypotenuse?

• Tangent

• Secant

• Sine

• Cosine

Tags

CCSS.HSG.SRT.C.8

What is the value of X when using cosine with an angle of 31° and an adjacent side of X over a hypotenuse of 16?

• 13.7

• 15.2

• 12.3

• 14.6

Tags

CCSS.HSG.SRT.C.8

When solving for X using tangent with an angle of 54° and an opposite side of 17, what is the value of X?

• 11.8

• 10.5

• 13.4

• 12.3

Tags

CCSS.HSG.SRT.C.8

What is the tangent of 39° when the opposite side is X and the adjacent side is 18?

• 17.4

• 14.6

• 16.3

• 15.2

Tags

CCSS.HSG.SRT.C.6

Which trigonometric function is used when you have the opposite and adjacent sides of a right triangle?

• Sine

• Cosine

• Tangent

• Cotangent

Tags

CCSS.HSG.SRT.C.6