Trigonometry

Question 1

SOH CAH TOA stands for?

Answer 1

sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent

Question 2

A.L.S.T stands for in unit circle

Answer 2

all stations to central

Question 3

first quadrant is…

Answer 3

all positive

Question 4

second quadrant is…

Answer 4

sin positive

others negative

Question 5

third quadrant is…

Answer 5

tan positive

others negative

Question 6

fourth quadrant is…

Answer 6

cos positive

others negative

Question 7

exact value of sin30

Answer 7

1/2

Question 8

exact value of sin45

Answer 8

1/root2

Question 9

exact value of sin60

Answer 9

root3/2

Question 10

exact value of cos30

Answer 10

root3/2

Question 11

exact value of cos45

Answer 11

1/root2

Question 12

exact value of cos60

Answer 12

1/2

Question 13

exact value of tan30

Answer 13

1/root3

Question 14

exact value of tan60

Answer 14

root3

Question 15

exact value of sin0

Answer 15

0

Question 16

exact value of cos0

Answer 16

1

Question 17

exact value of tan0

Answer 17

0

Question 18

exact value of sin90

Answer 18

1

Question 19

exact value of cos90

Answer 19

0

Question 20

exact value of tan90

Answer 20

undefined

Question 21

What is the Sine rule?

Answer 21

a/sinA = b/sinB = c/sinC

Question 22

when can the sine rule be used?

Answer 22

the size of 2 angles and the length of one side is given OR the length of 2 sides and the size of an angle opposite one of these sides

Question 23

what is the cosine rule for an angle?

Answer 23

cosA = (b^2+c^2-a^2)/2bc

Question 24

what is the cosine rule for a side?

Answer 24

a^2 = b^2+c^2 - 2bc cosA

Question 25

when can the cosine rule be used?

Answer 25

when given the length of three sides OR the length of 2 sides and the size of the included angle

Question 26

formula for area of a triangle

Answer 26

A=½bh

Question 27

formula for completing the square

Answer 27

(x-a)^2 = x^2 -2ax +(-2a/2)^2

Question 28

What is the quadratic formula?

Answer 28

X=-b±√b²−4ac/(over)2a