Triangles

Question 1

What are the three trigonometry signs?

Answer 1

cos(
sin(
tan(

Question 2

What is the equation for cos?

Answer 2

cos(theta)= adjacent
——————
hypotenuse

Question 3

What is the equation for sin?

Answer 3

sin(theta)=opposite
—————–
hypotenuse

Question 4

What is the equation for tan?

Answer 4

tan(theta)= opposite
—————
adjacent

Question 5

What would you type into a calculator to -
cos(54) = adjacent
————-
17cm

Answer 5

You would type in cos(54) x 17 to get the adjacent side.

The answer is 9.992349289

Question 6

Give the exact value for:

a) sin(0)
b) cos (0)
c) tan (0)
d) sin (90)
e) cos (90)
f) tan (90)

Answer 6

a) sin(0) = 0
b) cos (0) = 1
c) tan (0) = 0
d) sin (90) = 1
e) cos (90) = 0
f) tan (90) = Error

Question 7

What is tan(45)?

Answer 7

1

Question 8

Give all the exact values for 30

Answer 8

sin(30) =  0.5
cos(30) = Root 3/ 2
tan(30) = Root 3/ 3

Question 9

What are the exact values for 60?

Answer 9

sin(60) = Root 3/ 2
cos(60) = 0.5
tan(60) = Root 3

Question 10

Give the exact values for:

a) tan(45)
b) cos(45)
c) sin(45)

Answer 10

a) tan(45) = 1
b) cos(45) = Root 2/ 2
c) sin(45) = Root 2/ 2

Question 11

What are these equal to?

a) sin(90)
b) cos(0)
c) cos(30)
d) cos(45)
e) sin(30)

Answer 11

a) cos(0) [and tan(45)] - 1
b) sin(90) - 0
c) sin(60) - Root 3/ 2
d) sin(45) - Root 2/ 2
e) cos(60) - 0.5