If sin(θ) = 0.6, what is cos(θ)?

Using the Pythagorean identity: $$\text{cos}^2(\theta) + \text{sin}^2(\theta) = 1$$ , we find $$\text{cos}(\theta) = \frac{4}{5}$$ .

What is the value of tan(θ) if sin(θ) = 3/5 and cos(θ) = 4/5?

Using the definition of tangent: $$\text{tan}(\theta) = \frac{\text{sin}(\theta)}{\text{cos}(\theta)} = \frac{3/5}{4/5} = \frac{3}{4}$$ .

What is the value of csc(θ) if sin(θ) = 0.8?

Cosecant is the reciprocal of sine: $$\text{csc}(\theta) = \frac{1}{\text{sin}(\theta)} = \frac{1}{0.8} = 1.25$$ .

Find the missing side of a right triangle if one side is 6 and the hypotenuse is 10.

Using the Pythagorean theorem: @@x^2 + 6^2 = 10^2 ightarrow x^2 + 36 = 100 ightarrow x^2 = 64 ightarrow x = 8@@.

What is the value of sec(θ) if cos(θ) = 0.5?

Secant is the reciprocal of cosine: $$\text{sec}(\theta) = \frac{1}{\text{cos}(\theta)} = \frac{1}{0.5} = 2$$ .

If cot(θ) = 3, what is tan(θ)?

Tangent is the reciprocal of cotangent: $$\text{tan}(\theta) = \frac{1}{\text{cot}(\theta)} = \frac{1}{3}$$ .

What is the sine of a 30-degree angle?

$$\text{sin}(30^\text{o}) = \frac{1}{2}$$ .

What is the cosine of a 60-degree angle?

$$\text{cos}(60^\text{o}) = \frac{1}{2}$$ .

Resource Library

Math

Trigonometry

Trigonometric Ratios Sin, Cos, Tan, Csc, Sec And Cot

All 6 Trig Functions

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.C.6, HSF.TF.A.2, HSF.TF.C.8

Standards-aligned

Wayground Content

Used 1+ times

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15 questions

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FLASHCARD QUESTION

Front

What are the six trigonometric functions?

Back

Sine (sin), Cosine (cos), Tangent (tan), Cosecant (csc), Secant (sec), Cotangent (cot).

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Define Sine (sin) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Define Cosine (cos) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Define Tangent (tan) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

What is the relationship between the six trigonometric functions?

Back

Tags

CCSS.HSF.TF.A.2

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

How do you find the value of cotangent (cot)?

Back

Tags

CCSS.HSG.SRT.C.6

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