Trig

Front

What is the definition of cosine (cos) in a right triangle?

Back

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

Front

What is the formula to find the cosine of an angle in a right triangle?

Back

cos(θ) = adjacent / hypotenuse.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is cos(θ)?

Back

cos(θ) = 4 / 5 = 0.8.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you solve for x in the equation 3x + 5 = 20?

Back

Subtract 5 from both sides: 3x = 15. Then divide by 3: x = 5.

Front

What is the sine (sin) of an angle in a right triangle?

Back

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

Front

What is the formula to find the sine of an angle in a right triangle?

Back

sin(θ) = opposite / hypotenuse.

Front

If the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?

Back

sin(θ) = 3 / 5 = 0.6.

Front

What is the tangent (tan) of an angle in a right triangle?

Back

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

Front

What is the formula to find the tangent of an angle in a right triangle?

Back

tan(θ) = opposite / adjacent.