Trignometry

Question 1

sin(teta)

Answer 1

opposite/hypothenuse

Question 2

cos(teta)

Answer 2

adjacent/hypothenuse

Question 3

tan(teta)

Answer 3

opposite/adjacent

Question 4

Given a right triangle with two acute angles – a and b, what is the value of cos(a) given sin(b)

Answer 4

sin(b)=cos(90-x) where 90-x is the angle that is the degree of acute angle a
Therefore, cos(a)=sin(b)

Question 5

Trig function(s) positive in Q1

Answer 5

sin, cos and teta

Question 6

Trig function(s) positive in Q2

Answer 6

sin

Question 7

Trig function(s) positive Q3

Answer 7

tan

Question 8

Trig function(s) positive in Q4

Answer 8

cos

Question 9

Mnemonic technique to remove which values are positive in which Q

Answer 9

All Students Take Calculus, where ASTC is Q1, S is Q2, T is Q3, and C in Q4

Question 10

Find a value of a trig function of x degrees (no calculator section)

Answer 10

1. Determine whether the trig function is (+)/(-)
2. Find the reference angle (or the acute angle formed in relation to x) always 30, 60, or 45
3. Solve based on trig functions
   * the sides of the 45-45-90 triangle is 1, 1, and sqrt(2)*
   * the sides of 30-60-90 triangle is 1, sqrt(3), and 2*
4. Don’t forget to add the sign to the answer in 3

Question 11

How does one find the reference angle of an angle x?

Answer 11

subtracting x with 180 degrees or 90 degrees until an acute angle y is found

Question 12

sin30

Answer 12

1/2

Question 13

cos30

Answer 13

sqrt(3)/2

Question 14

tan30

Answer 14

1/sqrt(3)

Question 15

sin60

Answer 15

sqrt(3)/2

Question 16

cos60

Answer 16

1/2

Question 17

tan60

Answer 17

sqrt(3)/1

Question 18

sin45

Answer 18

1/sqrt(2)

Question 19

cos45

Answer 19

1/sqrt(2)

Question 20

tan45

Answer 20

1/1 = 1

Question 21

sin0

Answer 21

0

Question 22

cos0

Answer 22

1

Question 23

tan0

Answer 23

0

Question 24

sin90

Answer 24

1

Question 25

cos90

Answer 25

0

Question 26

tan90

Answer 26

undefined

Question 27

Given a right triangle with two acute angles – a and b, what is the value of sin(a) given cos(b)

Answer 27

cos(b)=sin(90-x) where 90-x is the angle that is the degree of acute angle a
Therefore, cos(b)=sin(a)