[ cos(Θ) ]-1 = 1/cosine(Θ) = secant(Θ)
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All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
The cosine is simply the x-coordinate of the unitary circle. It helps to draw the circle, and the sine and cosine (x and y coordinates), to visualize this. The y-coordinate is the same for a positive angle and for the corresponding negative angle.
(3)-1 = 1/3
One half to the negative first power is equal to the reciprocal of one half raised to the first power. The reciprocal of one half is two, so (1/2)^(-1) = 1 / (1/2) = 1 * 2 = 2.
10-1 is 0.1 or 1/10