trigonometry

Question 1

what are the 6 trigonometric functions?

Answer 1

• sine: sin
• cosine: cos
• tangent: tan

SOH-CAH-TOA

SOH: Sin = Opposite/Hypotenuse

CAH: Cosine: Adiacent/Hypotenuse

TOA = Tangent = Opposite/Adiacent

• cotangent: cot
• secant: sec
• cosecant: co

Question 2

What is sin(0°)?

Answer 2

0

Question 3

What is sin(30°)?

Answer 3

1/2

Question 4

What is sin(45°)?

Answer 4

√2/2

Question 5

What is sin(60°)?

Answer 5

√3/2

Question 6

What is sin(90°)?

Answer 6

1

Question 7

What is cos(0°)?

Answer 7

1

Question 8

What is cos(30°)?

Answer 8

√3/2

Question 9

What is cos(45°)?

Answer 9

√2/2

Question 10

What is cos(60°)?

Answer 10

1/2

Question 11

What is cos(90°)?

Answer 11

0

Question 12

What is tan(0°)?

Answer 12

0

Question 13

What is tan(30°)?

Answer 13

√3/3

Question 14

What is tan(45°)?

Answer 14

1

Question 15

What is tan(60°)?

Answer 15

√3

Question 16

What is tan(90°)?

Answer 16

Undefined (because sin 90 degrees = 1 and cos 90degrees equal 0) so 1/0 = undefined

Question 17

What is the Pythagorean identity for sin and cos?

Answer 17

sin²θ + cos²θ = 1

Question 18

What is the Pythagorean identity for tan and sec?

Answer 18

1 + tan²θ = sec²θ

Question 19

What is the Pythagorean identity for cot and csc?

Answer 19

1 + cot²θ = csc²θ

Question 20

What is sin(-θ)?

Answer 20

-sin(θ)

Question 21

What is cos(-θ)?

Answer 21

cos(θ)

Question 22

What is tan(-θ)?

Answer 22

-tan(θ)

Question 23

What is sin(90° - θ)?

Answer 23

cos(θ)

Question 24

What is cos(90° - θ)?

Answer 24

sin(θ)

Question 25

What is tan(90° - θ)?

Answer 25

cot(θ)