Trigonometry

by lidor

sin⁡(α+β)

sin⁡α cos⁡β+cos⁡α sin⁡β

sin⁡(α-β)

sin⁡α cos⁡β - cos⁡α sin⁡β

cos⁡(α+β)

cos⁡α cos⁡β - sin⁡α sin⁡β

cos⁡(α-β)

cos⁡α cos⁡β+sinα sinβ

tan⁡(α+β)

(tan⁡α+tan⁡β)/(1-tan⁡α tan⁡β)

tan⁡(α-β)

(tan⁡α-tan⁡β)/(1+tan⁡α tan⁡β)

sin^²θ

1-cos^²⁡θ

cos²θ

1-sin²θ

cos²θ

1/(1+tan²θ)

-sin⁡θ

sin⁡(-θ)

-cos⁡θ

cos⁡(π-θ)

cos⁡(-θ)

cos⁡θ

tan⁡(-θ)

-tan⁡θ

sin⁡(π/2-θ)

cos⁡θ

cos⁡(π/2-θ)

sin⁡θ

sin⁡2θ

2 sin⁡θcos⁡θ

cos⁡2θ

cos²⁡θ - sin²θ

tan⁡2θ

(2 tan⁡θ)/(1-tan²θ)

30°

π/6

45°

π/4

60°

π/3

90°

π/2

180°

π

270°

3π/2

sin⁡(π/6)

1/2

sin⁡(π/4)

√2/2

sin⁡(π/3)

√3/2

sin⁡(π/2)

1

cos⁡(π/6)

√3/2

cos⁡(π/4)

√2/2

cos⁡(π/3)

1/2

cos⁡(π/2)

0

tan⁡(π/6)

√3/3

tan⁡(π/4)

1

tan⁡(π/3)

√3

tan⁡(π/2)

no solution