SOLUTION: Verify that pi/3 and x=30degrees is equal to this equation. LHS=RHS (secx+tanx)cosx-1 = sinx

Algebra.Com
Question 804460: Verify that pi/3 and x=30degrees is equal to this equation. LHS=RHS
(secx+tanx)cosx-1 = sinx

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Verify that pi/3 and x=30degrees is equal to this equation. LHS=RHS
(secx+tanx)cosx-1 = sinx
***
x=30˚
(secx+tanx)cosx-1 = sinx
(1/cosx)+tanx)cosx-1=sinx
(2/√3+1/√3)(√3/2)-1=1/2
1+(1/2)-1=1/2
1/2=1/2
verified:LHS=RHS
..
x=π/3
(secx+tanx)cosx-1 = sinx
(1/cosx)+tanx)cosx-1=sinx
(2+√3)(1/2)-1=√3/2
1+√3/2-1=√3/2
√3/2=√3/2
verified:LHS=RHS

RELATED QUESTIONS

prove that left side equation is equal to the right side 1+cosx/1-cosx + 1-sinx/1+sinx = (answered by Aswathy)
Verify that the equation is an identity (Sinx-1)(tanx+secx)=-cosx (answered by Alan3354)
Verify that the equation is an identity... (answered by Boreal)
verify... (answered by amarjeeth123)
Verify... (answered by Edwin McCravy)
prove that (sinx-1)(tanx+secx)=... (answered by lwsshak3)
verify the identity: cosX/1-sinX = secX +... (answered by Alan3354)
verify the identity... (answered by fcabanski)
Tanx+Cosx/(1+sinx)=secx (answered by Alan3354)