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Change all of these into sin and cos. Cancel down to reduce. 1) (tan x) (cos x) (csc x) 2) (cot 2 x) (csc x) (tan x) (sec x) 3) (sin x) (tan x) (cot 2 x) 4) (cos x) (csc x) (tan 2 x) (cos x) 5) (tan 2 x) (sin x) (cos 2 x) (csc 2 x).
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Change all of these into sin and cos. Cancel down to reduce. 1) (tan x) (cos x) (csc x) 2) (cot2 x) (csc x) (tan x) (sec x) 3) (sin x) (tan x) (cot2 x) 4) (cos x) (csc x) (tan2 x) (cos x) 5) (tan2 x) (sin x) (cos2 x) (csc2 x)
Use Pyth Identities on the parts that contain (trig2 and a 1). Convert everything else to sin and cos. Cancel down. 6) (1 – sin2 x) (csc2 x) 7) (1 – cos2 x) (csc2 x) 8) (1 + cot2 x) (cos2 x)
Change sin to A and cos to B (sin2 = A2, etc.) Factor using GCF or Reverse FOIL. Convert the A’s and B’s back into sin and cos. 10) (cos x) (sinx) – cos x = 0 11) sin2 x + sinx = 0 12) cos2 x + 4 cos x – 5 = 0 13) sin2 x + sin x – 12 = 0 14) 2 cos2 x + 7 cos x + 3 = 0 15) 5 sin2 x – 2 sin x – 3 = 0