Question

Prove the trignomatric equation
sinA/ catA +cosecA =2 sinA/ cotA - cosecA ​

Answer 1

Step-by-step explanation:

cotA+cscAsinA=2+cotA−cscAsinA∴cotA+cscAsinA−cotA−cscAsinA−2=0∴LHS=cot2A−csc2AsinA(cotA−cscA)−sinA(cotA+cscA)=(−1)sinA(cotA−cscA−cotA−cscA)=(−1)sinA(−2cscA)=+2=RHS