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Test: Sine, Cosine and Tangent - SAT MCQ


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10 Questions MCQ Test Mathematics for SAT - Test: Sine, Cosine and Tangent

Test: Sine, Cosine and Tangent for SAT 2024 is part of Mathematics for SAT preparation. The Test: Sine, Cosine and Tangent questions and answers have been prepared according to the SAT exam syllabus.The Test: Sine, Cosine and Tangent MCQs are made for SAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Sine, Cosine and Tangent below.
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Test: Sine, Cosine and Tangent - Question 1

What is the sine of an angle whose opposite side measures 8 and hypotenuse measures 10?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 1

Sine equals Opposite over Hypotenuse.
Therefore, the sine of the angle is 8/10 = 0.8.

Test: Sine, Cosine and Tangent - Question 2

What is the tangent of an angle whose adjacent side measures 3 and opposite side measures 4?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 2

Tangent equals Opposite over Adjacent.
Therefore, the tangent of the angle is 4/3 = 1.33

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Test: Sine, Cosine and Tangent - Question 3

What is the value of sin(90°)?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 3

sin(90°) is the ratio of the opposite side to the hypotenuse in a right-angled triangle, and at 90°, the opposite side is equal to the hypotenuse, so sin(90°) = 1.

Test: Sine, Cosine and Tangent - Question 4

If sin(A) = 3/5 and cos(A) = 4/5, what is the value of tan(A)?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 4

tan(A) = sin(A)/cos(A) = (3/5)/(4/5) = 3/4.

Test: Sine, Cosine and Tangent - Question 5

If tan(α) = 3/4 and tan(β) = 1/3, what is the value of tan(α + β)?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 5

tan(α + β) = (tan(α) + tan(β))/(1 - tan(α)tan(β))
= (3/4 + 1/3)/(1 - (3/4)(1/3))
= (3/4 + 1/3)/(1 - 1/4)
= (13/12)/(3/4)
=(13/12)/(9/12)
= 13/9.

Test: Sine, Cosine and Tangent - Question 6

What is the cosine of an angle whose adjacent side measures 7 and hypotenuse measures 10?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 6

Cosine equals Adjacent over Hypotenuse.
Therefore, the cosine of the angle is 7/10 = 0.7.

Test: Sine, Cosine and Tangent - Question 7

In a right triangle, if the side opposite the angle A is 6 units and the side adjacent to the angle A is 8 units, what is the value of cos(A)?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 7

cos(A) = adjacent/hypotenuse
= 8/10
= 4/5

Test: Sine, Cosine and Tangent - Question 8

What is the sine of an angle whose adjacent side measures 5 and hypotenuse measures 13?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 8

Sine equals Opposite over Hypotenuse.
To find the opposite side, we can use the Pythagorean theorem: √(132 - 52) = 12.
Therefore, the sine of the angle is 12/13 = 0.92.

Test: Sine, Cosine and Tangent - Question 9

What is the tangent of an angle whose opposite side measures 3 and adjacent side measures 4?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 9

Tangent equals Opposite over Adjacent.
Therefore, the tangent of the angle is 3/4 = 0.75.

Test: Sine, Cosine and Tangent - Question 10

In a right triangle, one angle measures 45°. What is the ratio of the length of the side opposite the 45° angle to the length of the hypotenuse?

Detailed Solution for Test: Sine, Cosine and Tangent - Question 10

In a 45°-45°-90° triangle, the ratio of the side opposite the 45° angle to the length of the hypotenuse is 1/√2.

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