Sin, Cos and Tan

Front

What are the definitions of sine, cosine, and tangent in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the hypotenuse. Cosine (cos) is the ratio of the length of the adjacent side to the hypotenuse. Tangent (tan) is the ratio of the length of the opposite side to the adjacent side.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): c² = a² + b².

Front

How do you calculate the tangent of an angle?

Back

The tangent of an angle A in a right triangle can be calculated using the formula: tan(A) = opposite/adjacent.

Front

What is the relationship between sine, cosine, and tangent?

Back

The relationship is given by the identity: tan(A) = sin(A)/cos(A).

Front

How do you find the missing side of a right triangle using trigonometric ratios?

Back

To find a missing side, use the appropriate trigonometric ratio (sin, cos, or tan) based on the known angle and the sides you have.

Front

What is the value of sin(30°)?

Back

The value of sin(30°) is 0.5.

Front

What is the value of cos(60°)?

Back

The value of cos(60°) is 0.5.

Front

What is the value of tan(45°)?

Back

The value of tan(45°) is 1.

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, multiply the degree measure by π/180.

Front

What is the sine rule in trigonometry?

Back

The sine rule states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant: a/sin(A) = b/sin(B) = c/sin(C).