Basic Inverse Trig
InvTrig Expressions
Linear Trig Equations
Factoring
Trig Eqtn w/ Factoring
100

Another way to write 

sin^-1(x)

arcsin(x)

100

Evaluate 

sec(arcsec(115/101))

115/101

100

Find two solutions between 0 and 360

4sinx-2=0


x=30, 150

100

Write in factored form:

4sin^2x-1

(2sinx+1)(2sinx-1)

100

Find all solutions between 0 and 360

(tanx+1)(tanx-1)=0

x=45, 135, 225, 315

200

In the expression arctan(x), x is a ______ 

ratio

200

The solution of the following is a(n) _______

tan(arcsec(x))

ratio

200

Find 2 solutions between 0 and 360

6tanx+6=0

x=135, 315

200

Write in factored form

2tanxsinx-tanx

tanx(2sinx-1)

200

Find all solutions between 0 and 360

4cos^2x-1=0

x=60, 120, 240, 300

300

Suppose k is a negative number.  arccos(x) has two solutions between 0 and 360.  Those solutions are in what two quadrants?


2 and 3

300

Assume quadrant 1

Evaluate 

sin(arctan(7/4))

(7sqrt65)/65

300

cscx+sqrt2=0

x=225, 315

300

Write in factored form

8sin^2x-4sinx

4sinx(2sinx-1)

300

Find all solutions between 0 and 360

sin^2x=sinx+2

x=270

400

What are the 2 solutions between 0 and 360?

arctan(-sqrt3)

120 and 300

400

Evaluate

sin^2(arctan(1/5))+cos^2(arctan(1/5))

1

400

6cosx+8=2cosx+10

x=60, 300

400

Write in factored form

cos^2x+2cosx-3

(cosx+3)(cosx-1)

400

Find all solutions between 0 and 360

2cos^2x-cosx-1=0

x=0, 120, 240

500

Convert to arccos:

arcsec(-3)

arccos(-1/3)

500

Evaluate 

cos(arcsec(a/b))

b/a

500

Find all solutions between 0 and 360

4sin(2x)+2sqrt3=0

x=120, 150, 300, 330

500

Write in factored form

5sin^2x+2sinx-3

(5sinx-3)(sinx+1)

500

Find all solutions between 0 and 360

(3sinx+1)(sinx-1)=0

x=90, 199.5, 340.5

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