(b) sin2Θ = 2sinΘ.cosΘ
Let cos-1(3/5) = A => cos A = 3/5
- Same procedure as before, sketch a triangle where cos A = 3/5, then sin A = 4/5.
Then sin2A = 2sinA.cosA = 2.(4/5).(3/5) = 24/25
Uh, lyounamu, read Q2 again, it asks for f'(1). You only found the derivative:
f'(x) = 1/(2x-4) => f'(1) = 1/(2-4) = -1/2
EDIT:
Nope. Your method would work for the derivative of logex but the general rule is that d/dx (logef(x)) = f'(x)/f(x).
It's a pretty selective intelligence, nonetheless. This is very different from 'natural intelligence', which doesn't really have much of a connection with how much study you do, and it's this that people make a fuss of which results in the poor person's embarassment when they stress out and...