You are given that cos(A) = -7/25, with A in Quadrant 3, and cos(B) = -12/13, with B in Quadrant 2. Find sin(A - B). Give your answer as a fraction
Added by Heather R.
Step 1
Since A is in Quadrant 3, sin(A) is negative. We can use the Pythagorean identity to find sin(A): sin^2(A) + cos^2(A) = 1 sin^2(A) = 1 - cos^2(A) sin^2(A) = 1 - (-7/25)^2 sin^2(A) = 1 - 49/625 sin^2(A) = 576/625 sin(A) = -sqrt(576/625) sin(A) = -24/25 Similarly, Show more…
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