Math, asked by joshijyoti348, 1 month ago

prove that 1/sina + cos a /sin a =cosec a​

Answers

Answered by amitbera1769
4

Answer:

sinA1+cosA+1+cosAsinA

=sinA.sinA+(1+cosA).(1+cosA)sinA(1+cosA)

=sin2A+1+cos2A+2cosAsinA(1+cosA)

=2+2cosAsinA(1+cosA)

=2(1+cosA)sinA(1+cosA)

=2sinA

=2 cscA

sinA1+cosA+1+cosAsinA=2cscA

Note:

sin2A+cos2A=1

sinA=1cscA

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