Question

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

Answer 1

Answer:

Step-by-step explanation:

I solve this question

=(1/sinA-sinA)(1/cosA-cosA)(sinA/cosA+cosA/sinA)

take l.c.m.

you have

1-sin^2A/sinA×1-cos^2A/cosA×sin^2A+cos^2A/cosAsinA

then you know that sin^2A+cos^2A=1

then the last step is that

cos^2A/sinA×sin^2A/cosA×1/cosAsinA

cancelling we have cotA×tanA then this the Identity = 1