Product to Sum
Sum to Product
Half Angle
Sum and Difference
Pythagorean
100

sin(x) cos(y)

what is 1/2(sin(x+y)+ sin(x-y))

100

sin(x) + sin(y)

what is 2sin(x+y/2)cos(x-y/2)

100
sin(x/2)
what is +-(1-cos(u)/2)^1/2
100

sin(x+y)

what is sin(x)cos(y) + cos(x)sin(y)

100

sin^2x + cos^2x

what is 1

200

cos (x) sin (y)

what is 1/2(sin(x+y) - sin(x-y))

200

sin(x) - sin(y)

what is 2cos(x+y/2)sin(x-y/2)

200

cos(x/2) 

what is +-(1+cos(u)/2)^1/2

200

 cos(x+y)

cos(x)cos(y) - sin(x)sin(y)

200

tan^2x + 1

what is sec^2x

300

cos(x) cos(y)

what is 1/2(cos(x+y) + cos(x-y))

300

cos(x) + cos(y)

what is 2cos(x+y/2)cos(x-y/2)

300

tan(x/2)

what is 1-cos(u)/sin(u)

what is sin(u)/1+cos(u)

300

sin(x-y)

sin(x)cos(y) - cos(x)sin(y)

300

1+cot^2x

what is csc^2x

400

sin(x) sin(y)

what is 1/2(cos(x-y) - cos(x+y))

400

cos(x) - cos (y)

what is -2sin(x+y/2)sin(x-y/2)

400

tan^2x

what is 1-cos2x/1+cos2x

400

cos(x-y)

cos(x)cos(y) + sin(x)sin(y)

400

Show symmetry for sin(-x), cos(-x), and tan(-x)

what is -sin(x), cos(x), -tan(x)

500

Mathematical Analysis of a vibrating violin string of length L involves functions such that 

f(x) = sin (πn(x)/L) cos(kπn(t)/L)

where n is an integer, k is a constant, and t is time. Express f as a sum of two sine functions

what is f(x) = 1/2sin(πn/L)(x+kt) + 1/2sin(πn/L)(x-kt)

500

sin5t + sin3t = 0

what is π/4n

500

Find the values of sin(θ/2), cos(θ/2) and tan(θ/2)

tanθ = 1 ; -180° < θ < -90°

what is 

-1/2 (2 + (2)^1/2)^1/2

1/2 (2-(2)^1/2)^1/2

-(2)^1/2 -1

500

Find 

tan(x+y)

tan(x-y)

what is

(tan(x)+tan(y))/(1-tan(x)tan(y))

(tan(x)-tan(y))/(1-tan(x)tan(y))

500

Show Symmetry for csc(-x), sec(-x), cot(-x)

what is -csc(x), sec(x), -cot(x)