State whether the given statement is True or False: (-35)100=(-3100-5100)
Determine the given statement (-35)100=(-3100-5100)
Evaluate L.H.S :
(-35)100=(-1×35)100=(-1100×3100)5100[Since(a×b)m=am×bm]and[Since(-1)n=1ifniseven]=(1100×3100)5100[∵-1100=1and1100=1]=31005100
Solve R.H.S part:
(-3100-5100)=(31005100)
Hence, the L.H.S = R.H.S so, the given statement is “True”.
State whether the given statement is true or false:
cot(90-θ) = tan θ