Inverse Trig Functions
Trig Equations
Trig Identities
Sum and Difference Formulas
100
Find the exact value
sin^-1(-1)
theta=-pi/2or(3pi)/2
-90^o or 270^o
100
Solve the equation. Give general formula and six solutions
sintheta=sqrt3/2
theta=pi/3+2pik and theta=(2pi)/3+2pik
pi/3,(2pi)/3,(7pi)/3,(8pi)/3,(13pi)/3,(14pi)/3
100
Simplify the identity
sintheta(cottheta+tantheta)
1/costheta orsectheta
100
Find the exact value of
sin20^ocos25^o +cos20^osin25^o
sin(45^o)=sqrt2/2
200
Find the exact value of the expression
csc^-1(-sqrt2)
theta=-pi/4 or (7pi)/4
theta=-45^o or 315^o
200
Solve the equation on interval
0<=theta<2pi
4cos^2theta=1
pi/3,(2pi)/3,(4pi)/3,(5pi)/3
200
Multiply and simplify
(1-(costheta-sintheta)(costheta-sintheta))/(sinthetacostheta)
solution is 2
200
Use sum or difference to find exact value of
cos((7pi)/12)
sqrt2/4-sqrt6/4
or
(sqrt2-sqrt6)/4
300
find the exact solution of the equation
6cos^-1(4x)=pi
sqrt3/8
300
solve the equation
sqrt2cos^2theta-costheta=0
pi/4,(7pi)/4,pi/2,(3pi)/2
300
Simplify the Identity
(1+sin^2theta)/(1-sin^2theta)+1
2sec^2theta
300
Simplify the identity
tan(pi-theta)
-tan(theta)
400
Find the exact value of the expression
tan[cos^-1(-sqrt3/2)]
solution is
-sqrt3/3
400
Solve the equation on the interval o<=theta<2pi
sin^2theta=5cos(-theta)-1)
solution is 0
400
Simplify the identity
(2tanu-cotu)/(tanu+cotu)+1
3sin^2u
400
sin(A+B)=(-128sqrt89)/3649