Trig

Question 1

Sin(Θ)

Answer 1

Sin of angle Θ is O/H or
Opposite ÷ Hypotenuse
Trig Function

Question 2

Cos(Θ)

Answer 2

Cos of angle Θ is A/H or Adjacent ÷ Hypotenuse

Question 3

Tan(Θ)

Answer 3

Tan of angle Θ is O/A or Opposite ÷ Adjacent

Question 4

CSC(Θ)

Answer 4

CSC is H/O or Hypotenuse ÷ Opposite

CSC is reciprocal to Sin

Question 5

Sec(Θ)

Answer 5

Sec is H/A or Hypotenuse ÷ Adjacent

Sec is reciprocal to Cos

Question 6

Cot(Θ)

Answer 6

Cot is A/O or Adjacent ÷ Opposite

Cot is reciprocal to Tan

Question 7

Reciprocal Identity For SinΘ

Answer 7

secΘ = 1/cscΘ
1/(H/O) just flip csc upside down

https://www.youtube.com/watch?v=75OAcmexLzk

Question 8

Reciprocal Identity for cscΘ

Answer 8

cscΘ = 1/sinΘ
1/(O/H) just flip sin upside down
https://www.youtube.com/watch?v=75OAcmexLzk

Question 9

Reciprocal Identity for cosΘ

Answer 9

cosΘ = 1/secΘ

Question 10

Reciprocal Identity for secΘ

Answer 10

secΘ = 1/cosΘ

Question 11

Reciprocal Identity for tanΘ

Answer 11

tanΘ = 1/cotΘ

Question 12

Reciprocal Identity for cotΘ

Answer 12

cotΘ = 1/tanΘ

Question 13

Quotient Identity for tanΘ

Answer 13

tanΘ = sinΘ/cosΘ

Question 14

Quotient Identity for cotΘ

Answer 14

cotΘ = cscΘ/secΘ

Question 15

List the three pythangorean identities

Answer 15

sin²Θ + cos²Θ = 1
1 + tan²Θ = sec²Θ Or 1 = sec²Θ - tan²Θ
cot²Θ + 1 = csc²Θ Or 1 = csc²Θ -cot²Θ

These can all be derived from the Pythagorean theorem a²+b²=c² of a right triangle. The second

Question 16

What is cos(0)

Answer 16

1

Question 17

What sin(0)

Answer 17

0

Question 18

Intermediate Value Theorem

Answer 18

States that if f(x) is continuous (or at least continuous within a range), and f(a) and f(b) are values on either side of a value M then f(x) must cross M
Or something like that