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

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