1 If sina = 3/5, find COSA & TanA
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We know sin^2 + cos^2 = 1
(3/5)^2 + cos^2 =1 Subtract (3/5)^2 on both sides
cos^2 = 1 - (3/5)^2 Simplify(3/5)^2
cos^2 = 1 - (9/25) Simplify
cos^2 = 16/25 Take the square root of both sides
cos = (+0r -) 4/5
But we know cos<0 so only -4/5 will work.
Tangent is sin/cos, so tan = (3/5)/(-4/5) simplify by multiplying by one in the form of (1/5)/(1/5) which leads to the result that tan A=(-3/4) or -0.75
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