1 - sin2(q) = cos2(q)
dividing through by cos2(q),
sec2(q) - tan2(q) = 1
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tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2
0.75
I assume. Since theta is a variable, standing for the measure of any angle.
No, they cannot all be negative and retain the same value for theta, as is shown with the four quadrants and their trigonemtric properties. For example, in the first quadrant (0
sec(x)tan(x)