Gr. 11 Ontario Math - Trigonometry

Basic Trig Ratios

100

The sine ratio in a right triangle

What is opposite/hypotenuse

200

The cosine ratio in a right triangle

adjacent/hypotenuse

300

The tangent ratio in a right triangle

opposite/adjacent

400

Find the sine of a 30^o angle.

1/2

500

Find the cosine of a 45^o angle.

sqrt(2)/2

The Unit Circle (in degrees)

100

What is the value of Sin(0)

0

200

What is the value of cos(90)

0

300

What is the value of cos(180)

-1

400

What is the value of tan(45)

1

500

What is the value of Sin(60)

sqrt(3)/2

Pythagorean Theorem

100

What is the Pythagorean Theorem?

a² + b² = c²

200

If a right triangle has legs 3 and 4, what is the hypotenuse?

5

300

In a right triangle, if the hypotenuse is 13 and one leg is 5, what is the length of the other leg?

12

400

What is the length of the hypotenuse of a triangle with legs of length 7 and 24?

25

500

In a 3-4-5 triangle, if the hypotenuse is doubled, what are the new side lengths?

6, 8, and 10

Trig Identities

100

What is the Pythagorean Identity for sine and cosine?

sin²(x) + cos²(x) = 1

200

What is the reciprocal identity for sine?

csc(x) = 1/sin(x)

300

What is the reciprocal identity for cosine?

sec(x)=1/cos(x)

400

What is the identity for tangent in terms of sine and cosine?

tan(x) = sin(x) / cos(x)

500

What is the co-function identity for sin(90^o - x) ?

Cos(x)

Solving Right Triangles

100

What is the missing side of a right triangle with an angle of 30^o and a hypotenuse of 10. 

5

200

Find the missing side of a right triangle with an angle of 60^o and an adjacent side of 6.

12

300

Find the angle in a right triangle where the opposite side is 4 and the adjacent side is 3.

53^o

400

In a right triangle, if one leg is 8 and the hypotenuse is 10, find the other leg.

6

500

Find the angle in a right triangle where the opposite side is 10 and the hypotenuse is 20.

30^o