All 6 Trig Functions

Front

What is the definition of sine (sinθ)?

Back

Sine is a trigonometric function defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle.

Front

What is the definition of cosine (cosθ)?

Back

Cosine is a trigonometric function defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Front

What is the definition of tangent (tanθ)?

Back

Tangent is a trigonometric function defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the definition of cosecant (cscθ)?

Back

Cosecant is the reciprocal of sine, defined as the ratio of the length of the hypotenuse to the length of the opposite side.

Front

What is the definition of secant (secθ)?

Back

Secant is the reciprocal of cosine, defined as the ratio of the length of the hypotenuse to the length of the adjacent side.

Front

What is the definition of cotangent (cotθ)?

Back

Cotangent is the reciprocal of tangent, defined as the ratio of the length of the adjacent side to the length of the opposite side.

Front

If sinθ = 3/5, what is cosθ?

Back

Using the Pythagorean identity, cosθ = √(1 - sin²θ) = √(1 - (3/5)²) = 4/5.

Front

If tanθ = 1, what is cotθ?

Back

Cotangent is the reciprocal of tangent, so cotθ = 1/tanθ = 1/1 = 1.

Front

What is the value of sin(45°)?

Back

sin(45°) = √(2)/2.

Front

What is the value of cos(30°)?

Back

cos(30°) = √(3)/2.