Answers S1S-OC Pre-Calculus B E3710 - AGPerformance Task: Trigonometric Identities

Unit Test Answers

0 verified answers

Free Preview

What is the solution to the trigonometric inequality over the interval radians?

x is greater than equal to 0 but less than StartFraction 3pi over 2 EndFraction

and

and

x is greater than StartFraction 3pi over 2 EndFraction but less than equal to 2pi

Free Preview

What is the exact value of sin(264°)cos(6°) + cos(264°)sin(6°)?

–1

Negative one-half

Which equation represents a true sine ratio in ?

sine A = StartFraction b over c EndFraction

sine A = StartFraction h over c EndFraction

sine C = StartFraction b over a EndFraction

sine C = StartFraction a over h EndFraction

Which expression is equivalent to tan(x – )?

StartFraction tangent (x) minus tangent (pi) Over 1 minus (tangent (x) ) (tangent (pi) ) EndFraction

StartFraction tangent (x) minus tangent (pi) Over 1 + (tangent (x) ) (tangent (pi) ) EndFraction

StartFraction tangent (x) + tangent (pi) Over 1 minus (tangent (x) ) (tangent (pi) ) EndFraction

StartFraction tangent (x) + tangent (pi) Over 1 + (tangent (x) ) (tangent (pi) ) EndFraction

Which shows all the exact solutions of ? Give your answer in radians.

and

, , , and

Two trains leave a station on different tracks. The tracks make an angle of 130°, with the station as a vertex. The first train travels 100 km and makes its first stop at point A, while the second train travels 200 km and makes it first stop at point B. How far apart are the trains when both are at their first stop? Round the answer to the nearest integer. [Not drawn to scale]

65 km

139 km

224 km

275 km

Which is equivalent to ? Give your answer in radians.

Option

Review the proof of .tan(A – B) =Step 1: Step 2: Step 3: Step 4:

cos(A)cos(B)

cos(A)sin(B)

sin(A)cos(B)

sin(A)sin(B)

Suppose and cos(x) < 0. What the value of cos(2x)?

Negative StartFraction 16 Over 25 EndFraction

Negative StartFraction 7 Over 25 EndFraction

StartFraction 7 Over 25 EndFraction

StartFraction 16 Over 25 EndFraction

The angle measures in a triangle are in the ratio 1:3:5. The longest side of the triangle measures 5 inches. What is the approximate perimeter of the triangle?

9.0 in.

9.4 in.

11.1 in.

12.7 in.

Trigonometric area formula: Area =

70.5 square units

111.3 square units

185.4 square units

222.5 square units

Triangle ABC is a sketch of a triangular flower bed that has an area of 65.1 square feet.Trigonometric area formula: Area =

17 feet

33 feet

40 feet

50 feet

What are the possible remaining angle measures in triangle ABC with ?

and

m angle B similar to 121 degrees, m angle C similar to 19 degrees

m angle B similar to 59 degrees, m angle C similar to 81 degrees

No triangle can be formed with these measures.

According to your graphing calculator, what is the approximate solution to the trigonometric inequality over the interval radians?

x is greater than equal to 0 but less than 1.3280

x is greater than equal to 0 but less than 1.6985

x is greater than equal to 0 but less than 1.9182

x is greater than equal to 0 but less than 2.4534

Let where 0° ≤ x ≤ 180°. What are the possible values for x?

45° only

135° only

45° or 225°

135° or 315°

What is the exact value of

StartFraction 1 Over 2 + StartRoot 3 EndRoot EndFraction

StartFraction 1 Over StartRoot 3 EndRoot EndFraction

StartFraction 3 Over StartRoot 3 EndRoot EndFraction

StartFraction 1 Over 2 minus StartRoot 3 EndRoot EndFraction

Solve: over the interval .

StartFraction pi Over 2 EndFraction

StartFraction 2 pi Over 3 EndFraction

StartFraction 3 pi Over 4 EndFraction

StartFraction 5 pi Over 6 EndFraction

Triangle XYZ has vertices X(–1, –1), Y(–2, 1), and Z(1, 2). What is the approximate measure of angle Z?

37.2°

61.5°

78.5°

81.3°

A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the side length of the rhombus?

StartFraction 10 over cosine 30 degree EndFraction.

StartRoot 800 minus 800 cosine 30 degree EndRoot.

40 cosine 30 degree.

StartRoot 400 minus 40 cosine 30 degree EndRoot.

For 0° ≤ x < 360°, what are the solutions to cos – sin(x) = 0?

{0°, 60°, 300°}

{0°,120°, 240°}

{60°, 180°, 300°}

{120°,180°, 240°}

According to your graphing calculator, what is the approximate solution to the trigonometric inequality over the interval radians?

and

What is the range of ?

and

A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material.Heron’s formula: Area =

31 square inches

34 square inches

48 square inches

62 square inches

Review the incomplete steps in the derivation of the tangent sum identity.Which action can be taken to the expression in Step 3 to give an expression for Step 4?

divide both the numerator and denominator by sin(x)sin(y)

divide both the numerator and denominator by sin(x)cos(y)

divide both the numerator and denominator by cos(x)sin(y)

divide both the numerator and denominator by cos(x)cos(y)

Which expression is equivalent to (1 + cos(x))2?

sin(x)

1 – cos(x)

1 – cos2(x)

(1 + cos(x))(sin(x))

Did you find these answers helpful?

Unit Test Answers

More from this Course

TRY EDGENUITY HACKS