Trigonomeetria

sin2 x + cos2 x = 

sin2(x + 40°) + cos2(x + 40°) = 

sin2 5x + cos2 5x = 

cos2(x + π) + sin2(x + π) = 

cos x tan x = 

cos 4x tan 4x = 

\frac{\sin\ 6x}{\cos\ 6x} = 

\frac{\sin\left(-5x\right)}{\cos\left(-5x\right)} = 

1 + tan2 2x = 

1 + tan2 60° = 

1 + tan2 45° = 

sin2 4x (1 + tan2 4x) = 

\left(1-\sin^2\mathrm{\alpha}\right)\left(1+\tan^2\mathrm{\alpha}\right)-\sin^2\mathrm{\alpha} = 

\sin^2\mathrm{\alpha}\tan^2\mathrm{\alpha}+\sin^2\mathrm{\alpha}+1 = 

\tan^2\mathrm{\alpha}-\sin^2\mathrm{\alpha}-\tan^2\mathrm{\alpha}\sin^2\mathrm{\alpha} = 

\cos\mathrm{\alpha}+\sin\mathrm{\alpha}\tan\mathrm{\alpha} = 

\frac{\sin^2\mathrm{\alpha}\cdot\sin^2\mathrm{\beta}+\sin^2\mathrm{\alpha}\cdot\cos^2\mathrm{\beta}-1}{\cos^2\mathrm{\alpha}} = 

\frac{2\sin x-2\sin x\cdot\cos^2x}{\sin^2x} = 

\sqrt{\frac{1+\sin x}{1-\sin x}}-\sqrt{\frac{1-\sin x}{1+\sin x}} = 

\sin\frac{\pi}{2}-\tan x\cdot\frac{\cos^2x}{\sin x} = 

cos2 x – sin2 x, kui cos x = 0,25

Vastus. cos2 x – sin2 x = 

cos2 x, kui tan x = 12

Vastus. cos2 x = 

tan2 x, kui cos x = 0,75

Vastus. tan2 x = 

sin x, kui cos x = 1,5

Vastus. sin x = 

cos x, kui sin x = 0,02 ja 90° < x < 180°

Vastus. cos x = 

tan x, kui cos x = –0,4 ja 180° < x < 270°

Vastus. tan x = 

sin x, kui tan x = 7 ja 180° < x < 270°

Vastus. sin x = 

tan x, kui sin x = 0,8 ja 0° < x < 90°

Vastus. tan x = 

Vastus. 1 rumbi suurus on kraadides  ja radiaanides .

sin 2  2

tan 80°  1

cos 0  1

sin 30°  1

sin x = 0,9736, 0° < x < 90°

Vastus. x = 

sin x = –0,4105, 270° < x < 360°

Vastus. x = 

cos x = 0,0172, 0° < x < 90°

Vastus. x = 

cos x = –0,555, 90° < x < 180°

Vastus. x = 

cos x = 3,675, 0° < x < 90°

Vastus. x = 

tan x = –6,911, 270° < x < 360°

Vastus. x = 

tan 42° tan 43° tan 44° tan 45° tan 46° tan 47° tan 48° = 

Leidke 1-\tan\mathrm{\alpha}\cos^2\mathrm{\alpha}, kui \sin\mathrm{\alpha}+\cos\mathrm{\alpha}=\frac{5}{7}.

Vastus. 1-\tan\mathrm{\alpha}\cos^2\mathrm{\alpha} = .

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