Question

sec A(1 + tan A)+ cos(1 + cot A) = (sec A + cosec A)​

Answer 1

Answer:

LHS=RHS

Step-by-step explanation:

remove brackets and convert secondary ratio to primary ratio

1/cosA+SinA/cosA*cosA(cos and cos cancel) +cosA+1/sinA/cosA*cosA(cos and cos cancel)

then......

cosA+cosA+sinA+sinA

1/secA+1/secA+1/cosecA+1/cosecA

2/2secA+2/2cosecA(numerator and denominator 2 cancel)

secA+cosecA

therefore, secA+cosecA=secA+cosecA

and LHS=RHS

hence proved,...