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How can you say opposite side is 3?

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related to an answer for: If cos(A + B) = 4/5 and sin(A - B) = 5/13 and A,B lies between 0 and pi/4
asked Jul 14, 2017 in TRIGONOMETRY by anonymous
reshown Jul 14, 2017 by goushi
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1 Answer

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The trigonometric identity is image

image

A,B lies between 0 and pi/4.

In first quadrant 6 trigonometric ratios are positive.

image

From the Pythagorean theorem hypotenuse is 5 and adjacent side is 4, then find opposite.

Pythagorean theorem is image

Consider image

image

Opposite side is 3.

answered Jul 14, 2017 by Anney Mentor

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