Continued Trig Review

What is the most efficient way to find "x"?

• Inverse sine

• Inverse cosine

• Inverse tangent

• Pythagorean Theorem

Answer explanation

To find 'x' in a right triangle, the inverse tangent function (tan⁻¹) is most efficient as it relates the opposite side to the adjacent side. This directly gives the angle whose tangent is the ratio of these sides.

Which trig ratio or formula should you use to find "b"?

• sin(25)

• cos(25)

• tan(25)

• Pythagorean Theorem

Answer explanation

To find 'b', use tan(25) because it relates the opposite side to the adjacent side in a right triangle. Since 'b' is opposite the angle, tan(25) = opposite/adjacent is the correct ratio.

Which trig ratio or formula should you use to find "c"?

• sin(25)

• cos(25)

• tan(25)

• Pythagorean Theorem

Answer explanation

To find 'c' in a right triangle with an angle of 25 degrees, use the cosine ratio, which relates the adjacent side to the hypotenuse. Thus, cos(25) is the correct choice.

How would you find the value of the angle denoted by "?"

• Apply the inverse sine

• Apply the inverse cosine

• Apply the inverse tangent

• Apply the Pythagorean Theorem

Answer explanation

To find the angle denoted by '?', you would use the inverse cosine function. This is appropriate when you have the lengths of the adjacent side and hypotenuse in a right triangle, allowing you to determine the angle.

Which inverse trig function would you use to find the measure of Angle A?

• inverse sine

• inverse cosine

• inverse tangent

• It is not possible to determine m<A

Answer explanation

To find the measure of Angle A, you use the inverse sine function. This is because the sine function relates the opposite side to the hypotenuse in a right triangle, and the inverse sine will give you the angle based on that ratio.

Which trigonometric function would you use to find "h", the height of the tree?

• sine

• cosine

• tangent

• none of these

Answer explanation

To find the height of the tree, you can use the tangent function. Tangent relates the opposite side (height of the tree) to the adjacent side (distance from the tree) in a right triangle, making it the correct choice.

Consider angle B in the diagram below.

What is the length of "adjacent side" to angle <B?

• 6

• 8

• 10

• not possible to determine

Answer explanation

The adjacent side to angle is determined from the triangle's properties. Given the options, the length of the adjacent side is 8, which is the correct choice based on the diagram's dimensions.

Consider angle B in the diagram below.

What is the length of "opposite side" to angle B?

• 6

• 8

• 10

• not possible to determine

Answer explanation

The length of the side opposite angle B is given as 6 in the diagram. Therefore, the correct answer is 6.

Determine the value of: tan(C)

• 7 / 25

• 24 / 25

• 25 / 7

• 24 / 7

Answer explanation

To find tan(C), we use the ratio of the opposite side to the adjacent side in a right triangle. Given the values, tan(C) = 24/7, which corresponds to the correct answer choice.

Determine the value of: cos(C)

• 7 / 25

• 24 / 25

• 25 / 7

• 24 / 7

Answer explanation

To find cos(C), we can use the Pythagorean theorem in a right triangle. If the opposite side is 7 and the hypotenuse is 25, then the adjacent side is √(25² - 7²) = 24. Thus, cos(C) = adjacent/hypotenuse = 24/25. The correct answer is 7/25.