Math, asked by manya5198, 1 year ago

(1+tana+seca) (1+cota-coseca)​

Answers

Answered by NikhilXkiller
0

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

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

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

this is in the formatr of (a+b) x (a-b) which is equal to a^2-b^2

= ((cosA+sinA)^2 - 1^2 )/cosAsinA

= (cos^2A+sin^2A+2sinAcosA - 1)/cosAsinA

=(1+2sinAcosA -1)/cosAsinA

= 2sinAcosA/cosAsinA

=2

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