SOLUTION: what is the solution in proving the trigonometric identities: 1+cot theta/csc theta = 1+tan theta/sec theta

Question 630528: what is the solution in proving the trigonometric identities: 1+cot theta/csc theta = 1+tan theta/sec theta
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
what is the solution in proving the trigonometric identities: 1+cot theta/csc theta = 1+tan theta/sec theta
**
(1+cot)/csc=(1+tan)/sec
start with left side
(1+cot)/csc
=(1+1/tan)/csc
=[(tan+1)/tan]/1/sin
=[(tan+1)/(sin/cos)]/1/sin
cancel sin
=(tan+1)cos
=(1+tan)/sec
verified: left side=right side

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