Pre Calc UB Tuesday, 7/19/22

Solve 0 - 2pi

100

cos x =  1/2 

pi/3; (5pi)/3

200

sin x =  sqrt3/2 

pi/3; (5pi)/3

300

tan x =  sqrt3 

pi/3; (4pi)/3

400

sec x = -  sqrt 2 

(3pi)/4; (5pi)/4

500

cot x =  -sqrt3 

(5pi)/6; (11pi)/6

Solve all answers

100

cos x =  1/2 

pi/3 + 2kpi; (5pi)/3 + 2kpi

200

sin x =  sqrt3/2 

pi/3 + 2kpi; (5pi)/3 + 2kpi

300

tan x =  sqrt3 

pi/3 + kpi

400

sec x = -  sqrt 2 

(3pi)/4 + 2kpi; (5pi)/4 + 2kpi

500

cot x =  -sqrt3 

(5pi)/6 + 2kpi; (11pi)/6 + 2kpi

Solve already factored

100

(cos - 1)(sin +  1/2)=0       [0, 2pi)

0;(7pi)/6; (11pi)/6

200

(cos + 1)(sin -1) = 0      [0.2pi) 

pi; pi/2

300

(tan - 1)(tan + 1) = 0      all solutions

pi/4 + (kpi)/2

400

(2sinx - 1)(2sinx + 1) = 0   all solutions

pi/6 + kpi; (5pi)/6 + kpi

500

(sinx)(cosx) = 0    all solutions

0 + (kpi)/2

Trig Graphs

100

amp of y  = 3cos(2x -  pi/2) 

3

200

period of y= 3cos(2x - pi/2)

pi

300

phase shift of                   y= 3cos(2x - pi/2)

pi/4  right

400

value at x = (3pi)/8                              of y= 3cos(2x - pi/2)

(3sqrt2)/2

500

value at x = pi                              of y= 3cos(2x - pi/2)

0

Polar Trig Form

100

Modulus for 2 + 2i

2sqrt2

200

Modulus for  sqrt3 + i 

2

300

Modulus for  -sqrt3 - i 

2

400

Modulus for -5 - 2i

sqrt 29

500

Polar Trig Form of  -3sqrt3 - 3i 

6(cos 7pi/6 + i sin 7pi/6)