ii. Make use of the trig identity sin x + cos x = 1 in your...
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ii. Make use of the trig identity sin x + cos x = 1 in your equation you found in part (i). You should arrive at an equation involving cos(x)dx and cos (x)dx. Solve this equation for cos(x)dx in terms of cos (x)dx. = Cos x Sun & + 2 (3 cos x Suix de 2 1 iii. The equation you find for cos(x)dx in part(ii) is an example of a reduction formula (we have expressed cos(x)dx in terms of f cos (x)dx, a reduction of two powers). To evaluate cos(x)dx, we therefore need to evaluate cos (x)dx. To do so, apply exactly the same process as in (i) and (ii), but for f cos (x)dx. Then find the value of cos(x)dx. ii. Make use of the trig identity sin x + cos x = 1 in your equation you found in part (i). You should arrive at an equation involving cos(x)dx and cos (x)dx. Solve this equation for cos(x)dx in terms of cos (x)dx. = Cos x Sun & + 2 (3 cos x Suix de 2 1 iii. The equation you find for cos(x)dx in part(ii) is an example of a reduction formula (we have expressed cos(x)dx in terms of f cos (x)dx, a reduction of two powers). To evaluate cos(x)dx, we therefore need to evaluate cos (x)dx. To do so, apply exactly the same process as in (i) and (ii), but for f cos (x)dx. Then find the value of cos(x)dx.
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