If sin theta= 5/6 , theta in quadrant 2, find the exact value of (a) cos theta (b) sin (theta+ pi/6) (c) cos (theta- pi/3) (d) tan (theta+ pi/4
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Step 1
We can use the Pythagorean identity sin^2 theta + cos^2 theta = 1 to find the value of cos theta. cos^2 theta = 1 - sin^2 theta = 1 - (5/6)^2 = 1 - 25/36 = 11/36. Since cos theta is negative in the second quadrant, cos theta = -sqrt(11)/6. (b) Show more…
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