Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

cos(60) cos(-20) - sin(60) sin(-20) = cos (40)

Step-by-step explanation:

Using the trigonometric identity rule:

Given that:

cos(60) cos(-20) - sin(60) sin(-20)

Let A = 60 and B = -20

then;

Using identity rule:

Therefore, the following as a function of a single angle is cos (40)

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

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step-by-step explanation:

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