What is the relationship between the six trigonometric ratios?

The six trigonometric ratios are interrelated: 1. $$\text{csc} = \frac{1}{\text{sin}}$$ 2. $$\text{sec} = \frac{1}{\text{cos}}$$ 3. $$\text{cot} = \frac{1}{\text{tan}}$$ .

How do you find the sine of an angle in a right triangle?

To find the sine of an angle, divide the length of the opposite side by the length of the hypotenuse: $$\text{sin}(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$$ .

How do you find the cosine of an angle in a right triangle?

To find the cosine of an angle, divide the length of the adjacent side by the length of the hypotenuse: $$\text{cos}(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$ .

How do you find the tangent of an angle in a right triangle?

To find the tangent of an angle, divide the length of the opposite side by the length of the adjacent side: $$\text{tan}(\theta) = \frac{\text{opposite}}{\text{adjacent}}$$ .

What is the sine of 30 degrees?

The sine of 30 degrees is $$\text{sin}(30^\text{o}) = \frac{1}{2}$$ .

What is the cosine of 60 degrees?

The cosine of 60 degrees is $$\text{cos}(60^\text{o}) = \frac{1}{2}$$ .

What is the tangent of 45 degrees?

The tangent of 45 degrees is $$\text{tan}(45^\text{o}) = 1$$ .

How can you use trigonometric ratios to find unknown sides in a right triangle?

You can use the appropriate trigonometric ratio (sin, cos, or tan) based on the known angle and the sides you need to find. Set up the equation and solve for the unknown.

Resource Library

Math

Trigonometry

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

Six Trigonometric Ratios

Flashcard

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.C.6, HSG.SRT.C.7, HSG.SRT.C.8

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FLASHCARD QUESTION

Front

What are the six trigonometric ratios?

Back

The six trigonometric ratios are: 1. Sine (sin) 2. Cosine (cos) 3. Tangent (tan) 4. Cosecant (csc) 5. Secant (sec) 6. 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.8

FLASHCARD QUESTION

Front

Define Cosecant (csc) in a right triangle.

Back

FLASHCARD QUESTION

Front

Define Secant (sec) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Define Cotangent (cot) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

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