Question

$\sin( \alpha ) - \cos( \alpha) = 0 \: and \: 0 < \alpha \leqslant \pi \div 2 \: then \: \alpha \: is \: equal \: to$

Answer 1

sin(a)-cos(a)=0.
=> sin(a)=cos(a) for the given range of 0 to π/2.
If u draw the graph of sin(a) and cos(a), it will cut at π/4.
Therefore, alpha is equal to π/4.