How do you simplify sin(pi/2-x)tanx?

1 Answer
Jim G.
Jul 23, 2016

sinx

Explanation:

Using the color(blue)"trig. identities"

color(orange)"Reminder"

color(red)(|bar(ul(color(white)(a/a)color(black)(sin(pi/2-x)=cosx)color(white)(a/a)|))) and

color(red)(|bar(ul(color(white)(a/a)color(black)(tanx=sinx/(cosx))color(white)(a/a)|)))

rArrsin(pi/2-x)tanx=cancel(cosx)xxsinx/(cancel(cosx))=sinx

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