Trigonometric Formulas

sin, cos, tan — key identities, addition and double-angle formulas, and practice trainer.

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Key Trigonometric Formulas

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Frequently Asked Questions

What is the Pythagorean trig identity?

sin²α + cos²α = 1. This is the fundamental trigonometric identity, valid for any angle α.

What are the double-angle formulas?

sin 2α = 2 sin α cos α; cos 2α = cos²α − sin²α = 1 − 2sin²α = 2cos²α − 1.

What are the addition formulas for sin and cos?

sin(α+β) = sin α cos β + cos α sin β; cos(α+β) = cos α cos β − sin α sin β.