How to simplify secx(sinx/tanx)?

tanx+secx=2cosx (sinx/cosx)+ (1/cosx)=2cosx (sinx+1)/cosx =2cosx multiplying both sides by cosx...

Prove that (secx+tanx)^2=1+sinx/1-sinx Thanks in advance.

Prove (1+secx)/(tanx+sinx)=cscx

(cosxcotx/secx+tanx)+(sinx/secx-tanx)

(1 + sinx)(secx - tanx) = cos x

simplify: tanx/secx+1

Solve tanx+cosx/1+sinx=secx In two different ways

verify sinx/secx = 1/tanx+cotx

1-(sinx tanx / 1+secx)

(secx-cosx) / (tanx-sinx) = cosecx+cotx Spent hours to solve this question but failed. Please hel...

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