SOLUTION: Can you please help me solve this trigonometric identities question: 1)Prove the following identity. a) sinx/1-sin^2 x= tanx/cosx Use LS=RS

Question 204710: Can you please help me solve this trigonometric identities question: 1)Prove the following identity.
a) sinx/1-sin^2 x= tanx/cosx
Use LS=RS
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
One thing to keep in mind when working with trig functions is tah they can all be "converted" in sin and cos. And sin can be "converted" to cos and vice versa!?

When working on trig identities and you don't see an easier path, then "convert" other functions into sin and cos using:

So we can start by noticing that the denominator on the left matches the first identity above so we can replace it:

On the right side we can use the third identity above to replace tan(x):

And now, with some Algebra, we can change the right side to look like the left side. Using the fact that dividing by something is the same as multiplying by the reciprocal, we can change the division by cos(x) into the multiplication by the reciprocal: 1/cos(x):

which simplifies to

RELATED QUESTIONS
Can you please help me solve this trigonometric identities question: 1)Prove the... (answered by stanbon)

Can you please help me solve this trigonometric identities question: 1)Prove the... (answered by alicealc)

Can you help me solve this trigonometric identities question: 1)Prove each of the... (answered by HyperBrain)

Can you please help me solve this trigonometric identities question: 1)Prove the... (answered by vleith)

Please Help me answer this question Prove the following equation is an identity... (answered by lwsshak3)

please help me solve this 1. prove the identity sinx/1-cosx =1/tanx 2. hence solve... (answered by Alan3354)

Please help me solve this question: Prove the following identities a. sin {θ}... (answered by tommyt3rd)

Can you please help me with this question? it says "What are the following trigonometric... (answered by Nate)

please help me solve the following trigonometric equation using Pythagorean identity... (answered by Theo)