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In cos we have cos cos sin sin in tan we have sum above and product below 2for sin x y we have sign on right. In this video we are going to learn how to derive the identity for sine of x sine of y. Let a line through the origin intersect the unit circle making an angle of o with the positive half of the x axisthe x and y coordinates of this point of intersection are equal to coso and sino respectivelythis definition is consistent with the right angled triangle definition of sine and cosine when 00 o 900.
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Cos x e i x e i x 2 sin x e i x e i x 2 i buy find arrowforward single variable calculus. The height of the triangle is h bsina. Moreover the families of rays x x 0 and intervals y y 0 are mapped into families of confocal hyperbolas and ellipses respectively.
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