12U Advanced Functions - Trigonometry

Question 1

How many solutions would the equation csc(23x)=√3/2 have?

Accepted Answer

0

Question 2

Which is the correct exact value of cot(8π/3) ?

Accepted Answer

-1/√3

Question 3

What angle would the ara of secx=2 ?

Accepted Answer

π/3

Question 4

What is correct equation to match cos(A-B) ?

Accepted Answer

cosAcosB+sinAsinB

Question 5

If a graph were to be shifted horizontally by π/6 (30∘), how many 'blocks' would it have moved?

Accepted Answer

2

Question 6

Name the missing value

Accepted Answer

√3

Question 7

Which are the correct values of t for this equation?

Accepted Answer

3/2, 15/2, 27/2, 39/2

Question 8

Name the horizontal shift of this equation

Accepted Answer

2

Question 9

True or False: it is possible to find an answer although it doesnt relate to a special triangle

Accepted Answer

True

Question 10

How many quadrants could the solutions to the equation sinx=±√3/4 (0 ≤ x ≤ 2π) be in?

Accepted Answer

4

Question 11

Which is the correct solution to this equation?

Accepted Answer

no solution

Question 12

How many times will sinx=0 (0 ≤ x ≤ 2π)?

Accepted Answer

3

Question 13

Which is the correct conversion of 60∘ to radians?

Accepted Answer

π/6

Question 14

True or false: an equation resulting in factors of (2a-1) and (3a+4) has two solutions

Accepted Answer

False

Question 15

How many solutions does the equation tan(2x)=0 have?

Accepted Answer

5

Question 16

Which is the proper double angle formula for cos(2A) ?

Accepted Answer

All are correct

Question 17

What is a radian?

Accepted Answer

Amount of rotation so that arc length equals the radius

Question 18

Solve fully for cos75∘ (eww degrees)

Accepted Answer

(√3-1)/(2√2)

Question 19

What quadrant(s) would the angle -cot(π/3) be in?

Accepted Answer

2 and 4

Question 20

What kind of graph is shown?

Accepted Answer

-csc

Questions 20