Sin, Cos, Tan

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the mnemonic to remember the definitions of sine, cosine, and tangent?

Back

SOHCAHTOA: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

If sin 30 = x/10, what is the value of x?

Back

x = 10 * sin 30 = 5.

Front

If cos 60 = y/15, what is the value of y?

Back

y = 15 * cos 60 = 7.5.

Front

If tan 45 = z/20, what is the value of z?

Back

z = 20 * tan 45 = 20.

Front

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

Back

sin(θ) = cos(90° - θ) and cos(θ) = sin(90° - θ).

Front

What is the sine rule in a triangle?

Back

The sine rule states that a/sin(A) = b/sin(B) = c/sin(C), where a, b, c are the sides and A, B, C are the opposite angles.

Front

What is the cosine rule in a triangle?

Back

The cosine rule states that c² = a² + b² - 2ab*cos(C), where a, b, c are the sides and C is the angle opposite side c.