Question

if sin theta + cos theta equals to 1 prove that 2 sin theta minus cos theta equal to 2 ?

Answer 1

☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣
If sinA+2cosA=1(by squaring both side)
we get

4cos×2A+sin×2A+4cosAsinA=1

then 4(1- sin×2A)+1

cos×2A+4cosAsinA=1

4-4sin×2A+1

cos ×2A+4cosAsinA=1

4sin×2A-4cosAsinA+cos×2A-4

4sin×2a-4cosAsinA+cos×2A=4

(2sinA-cosA)×2=4

2sinA-cosA=2


I HOPE THIS
HELPS YOU!!!
☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣☣