Sec 6.1 - Inverse Circular Functions
Sec 6.2 - Trigonometric Equations I
Sec 6.3 - Trigonometric Equations II
Sec 6.4 - Equations Involving Inverse Trigonometric Functions
Random
100
Graph y=tan^-1(x) . What is its domain and range?
D: [-oo,oo], R:(-pi/2,pi/2)
100
Solve for all exact solutions over 0, 2pi) .
2cos^2x-sqrt3cosx=0
x=pi/2, (3pi)/2,pi/6,(11pi)/6
100
Solve in radians from [0,2pi) and degrees from [0,360)
2cos(2x)=-1
x= (5pi)/6,(7pi)/6; theta=150,210
100
Solve for exact solutions in radians.
arc tan(x)=arc cos(5/13)
x=12/13
100
What color mask does Raphael wear from Teenage Mutant Ninja Turtles?
Red
200
Find the exact value of y without a calculator.
y=arc cot(-sqrt3)
y=arc csc(-1/2)
y=pi/6
Can't solve. csc can't be equal to -1/2
200
Solve for all exact solutions over 0, 2pi) .
-2sin^2x=3sinx+1
x=pi/6, (5pi)/6, (3pi)/2
200
Solve in radians from [0,2pi) and degrees from [0,360).
sinxcosx=1/4
x=pi/12, (5pi)/12; theta=15, 75
200
Solve for exact solutions in radians.
cot^-1x=tan^-1(4/3)
x=3/4
200
What's the only career that ends in 'j'?
A DJ.
300
Evaluate the expression without a calculator.
cos(tan^-1(-2))
1/5
300
Solve for all exact solutions over 0, 360) .
(tantheta-1)(costheta-1)=0
theta=0,45,225
300
Solve in radians from [0,2pi) and degrees from [0,360) .
cos(2x)+cos(x)=0
x=0,pi/6, (11pi)/6; theta=0, 30, 330
300
Solve for exact solutions in radians.
arc tan(x)=arc sin(-3/4)
x=-(3sqrt7)/7
300
What is one of the most 2 played songs on YouTube in the last year?
Miley Cyrus - Flowers
Billie Eilish - Birds of a Feather
400
Evaluate the expression without a calculator.
cos(sin^-1(3/5)+cos^-1(5/13))
20/65-36/65=-16/65
400
Solve for all exact solutions over 0, 360) .
2tan^2thetasintheta-tan^2theta=0
theta=0,30,150,180
400
Solve in radians from [0,2pi) .
sin(2x)=2cos^2(x)
x=pi/2,(3pi)/2, pi/4, (3pi)/4
400
Solve each equation for exact solutions in radians.
2cos(2x-pi/4)=sqrt3
x=(5pi)/24
400
What were the 3 main Axis powers in WWII?
Germany, Italy and Japan
500
Evaluate the expression without a calculator.
csc(arc cot(sqrt(4-u^2)/u))
4/u
500
Solve for all exact solutions over 0, 360) .
4cos^2theta+4costheta=-1
theta=120,240
500
CALCULATOR. Solve in radians from [0,2pi).
tan(2x)-sec(2x)=2
x=0.64, 0.64+pi
500
Solve each equation for exact solutions in radians.
tan(3x+pi/6)=1
x=pi/36
500
I am a 2-digit number between 60 and 80. My tens digit is 2 more than my ones digit. I am not 64. What number am I?
75