SOLUTION: Sinx+ cosxcotx=cscx Please verify the following intentity and show all steps when solving this equation. Thank You!!

Question 970143: Sinx+ cosxcotx=cscx Please verify the following intentity and show all steps when solving this equation. Thank You!!
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Sinx+ cosxcotx=cscx
sin x + cos x*(cos x/sin x)= 1/sin x Put everything in terms of sin x, cos x. Cot x=cos x/sin x
Now put left side over common denominator of sin x
[(sin x * sin x) +cos^2 x]/sin x= 1/ sin x
(sin^2 x +cos ^2 x)/sin x = 1/sin x
But sin^2x + cos^2 x =1
Therefore 1/sin x = 1/ sin x

RELATED QUESTIONS
Hi could you please verify the following identity cosxcotx --------- - 1... (answered by MathLover1)

Please help me with this question and show all steps if possible thank you! {{{3... (answered by Fombitz)

Can you please help me verify the identity. (sinx-cosx/sinx)+(cosx-sinx/cosx)=2-secx... (answered by Alan3354)

Verify that the equation is an identity: [(cotTheta - tanTheta)/(1 - tanTheta)] -... (answered by jim_thompson5910)

prove that cosxcotx + sinx =... (answered by jim_thompson5910)

Simplifying trig identities. 2tanx sinx + 2cosx-cscx Please show steps (answered by josgarithmetic)

tanx(sinx)/tanx+sinx=tanx-sinx/tanx(sinx) -> prove the trigonometric identity Please... (answered by brysca)

Please help me verify this equation: cscx - cscx (answered by gonzo)

verify the identity 1/sinx -... (answered by fcabanski)