Trigonometry

Question 1

What is the value of sin 30?

Answer 1

1/2

Question 2

What is the value of cos 30?

Answer 2

sqr root(3)/2

Question 3

What is the value of tan 30?

Answer 3

sqr root(1)/3 = sqr root(3)/3

Question 4

What is the value of sin 45?

Answer 4

1/sqr root(2) = sqr root(2)/2

Question 5

What is the value of cos 45?

Answer 5

1/sqr root(2) = sqr root(2)/2

Question 6

What is the value of tan 45?

Answer 6

1

Question 7

What is the value of sin 60?

Answer 7

sqr root(3)/2

Question 8

What is the value of cos 60?

Answer 8

1/2

Question 9

What is the value of tan 60?

Answer 9

sqr root(3)/1 = sqr root(3)

Question 10

What is the angle of tan?

Answer 10

tan @ = sin@/cos@

Question 11

What are the conditions for supplementary angles a and b?

Answer 11

sin a = sin b

cos a = -cos b

Question 12

What are the conditions for any sin or cos angle?

Answer 12

sin@ = sin(180 - @)
cos@ = -cos(180 - @)

Question 13

What are the three properties that are true for any angle?

Answer 13

sin^2@ + cos^2@ = 1

tan@ = sin@/cos@

For any line y=mx which forms an angle os @ with the x axis the value of m is tan@.

Question 14

When can the ambiguous case arise when using the sin rule>

Answer 14

You are given two sides and a non included acute angle.

The side opposite the given acute angle is the shorter of the two given sides.

Question 15

What is the arc length of a sector with a sector with central angle @ radians in a circle of radius r?

Answer 15

r@

Question 16

What is the area of a sector with a sector with central angle @ radians in a circle of radius r?

Answer 16

@r^2/2

Question 17

How do you covert degrees to radians?

Answer 17

Multiply by pi/180

Question 18

How do you covert radians to degrees?

Answer 18

Multiply by 180/pi