If one angle in a right triangle is 30 degrees, what is the sine of that angle?

The sine of 30 degrees is $$\frac{1}{2}$$ .

If one angle in a right triangle is 60 degrees, what is the cosine of that angle?

The cosine of 60 degrees is $$\frac{1}{2}$$ .

What is the relationship between the sine and cosine of complementary angles?

The sine of an angle is equal to the cosine of its complementary angle: $$\text{SINE}(A) = \text{COSINE}(90^\text{o} - A)$$ .

How do you calculate the length of a side using trigonometric ratios?

To find a side length, use the appropriate trigonometric ratio: for example, if you know an angle and the hypotenuse, use $$\text{SINE} = \frac{\text{opposite}}{\text{hypotenuse}}$$ to find the opposite side.

What is the measure of the side opposite to angle A if the hypotenuse is 13 and angle A is 30 degrees?

The length of the side opposite to angle A can be found using the sine ratio: $$\text{opposite} = \text{hypotenuse} \times \text{SINE}(30^\text{o}) = 13 \times \frac{1}{2} = 6.5$$ .

What is the measure of the side adjacent to angle A if the hypotenuse is 13 and angle A is 30 degrees?

The length of the side adjacent to angle A can be found using the cosine ratio: $$\text{adjacent} = \text{hypotenuse} \times \text{COSINE}(30^\text{o}) = 13 \times \frac{\text{\text{sqrt}}{3}}{2} \text{ (approximately 11.3)}$$ .

What is the tangent of angle A if the opposite side is 5 and the adjacent side is 12?

The tangent of angle A can be calculated as: $$\text{TANGENT}(A) = \frac{\text{opposite}}{\text{adjacent}} = \frac{5}{12}$$ .

If the hypotenuse is 13 and one side is 5, what is the length of the other side?

Using the Pythagorean theorem: $$c^2 = a^2 + b^2$$ , we find that the other side is $$\text{sqrt}(13^2 - 5^2) = \text{sqrt}(169 - 25) = \text{sqrt}(144) = 12$$ .

Right Triangle Trigonometry Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

2.

FLASHCARD QUESTION

Front

What is the hypotenuse of a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

3.

FLASHCARD QUESTION

Front

What is the SINE ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the COSINE ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the TANGENT ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

How do you find the length of the hypotenuse using the Pythagorean theorem?

Back

Tags

CCSS.8.G.B.8

7.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

Tags

CCSS.8.G.B.8

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