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The trigonometric ratios of 30º, 45º and 60º


Consider the figures:


Side square l e diagonal


Side equilateral triangle I and height

Sine, cosine and 30º tangent

Applying the definitions of sine, cosine and tangent to the 30º angles, we have:

Sine, cosine and 45 ° tangent

Applying the definitions of sine, cosine and tangent to an angle of 45º, we have:

Sine, cosine and 60 ° tangent

Applying the definitions of sine, cosine and tangent to an angle of 60º, we have:

summing up:

xsen xwaistband xtg x
30º
45º
60º
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