Question

(1+tanx)2+(1+cotx)2=​

Answer 1

Step-by-step explanation:

(1+tanx) 2+(1+cotx)2

(=1+sinx/cosx) 2+(1+cosx/sinx)2

=(2cosx+2sinx)/cosx+(2sinx+2cosx)/sinx

=[2sinx.cosx+sin^2{x}+2sinx.cosx+2cos^2x]/sinx.cosx

=[2sin^2x+2cos^2x+4sinx.cosx]/sinx.cosx

=[2{sin^2x+cos^2x}+4sinx.cosx]/sinx.cosx

=[2*1+4sinx.cosx]/sinx.cosx

=[2/sinx.cosx+4sinx.cosx/sinx.cosx]

=2secx.cosecx+4

=4+2secx.cosecx Answer

I hope this help you