Mastering Trigonometric Equations

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1 + tan² X

sec² X

sin² X + cos² X

1

sin(A±B)

sinAcosB ± cosAsinB

1 + cot² X

csc² X

cos(A±B)

cosAcosB -+ sinAsinB

tan(A±B) =

(tanA ± tan B) / (1 -+ tanAtanB)

sin 2X

2sinXcosX

cos 2X

2cos²X - sin²X or 2cos²X - 1 or 1 - 2sin²X

tan 2X

2tanX / (1- tan²X

sin X

(e^iX - e^-iX) / 2i

cos X

e^iX + e^-iX / 2

tan X

[-i (e^iX - e^-iX)] / (e^iX + e^-iX)

Test your knowledge of trigonometry with this quiz on the fundamental identity sin² x + cos² x = 1. See how well you understand this key concept and sharpen your skills in solving trigonometric equations.

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