SOLUTION: How do you establish the identity of sin(theta) divided by 1+cos(theta)= csc (theta)- cot (theta)?
Algebra.Com
Question 805439: How do you establish the identity of sin(theta) divided by 1+cos(theta)= csc (theta)- cot (theta)?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do you establish the identity of sin(theta) divided by 1+cos(theta)= csc (theta)- cot (theta)?
------------------
sin/(1+cos) = csc - cot
------------------------------
Convert to sin and cos:::
sin/(1+cos) = 1/sin - cos/sin
------
Simplify on the right side::
sin/(1+cos) = (1-cos)/sin
-----
Cross-multiply to get:
sin^2 = (1+cos)(1-cos)
----
sin^2 = 1-cos^2
----
sin^2 = sin^2
==================
Cheers,
Stan H.
==================
RELATED QUESTIONS
Establish the identity: tan^2(theta)cos^2(theta) +... (answered by mananth)
How do you verify that 1+cot(theta)/csc(theta) = sin(theta) +... (answered by jsmallt9)
establish the identity: sec theta / csc theta + sin theta / cos theta = 2 tan... (answered by stanbon)
How do i establish the identity
sin^3 theta - cos^3 theta/sin theta - cos theta = 1 +... (answered by dkppathak)
Prove the trigonometric identity:
{{{csc(theta)}}}{{{""-""}}}{{{cot(theta)}}} =... (answered by Edwin McCravy)
establish each identity
A) sec^4 theta - sec^2 theta = tan^4 theta + tan^2 theta
(answered by solver91311)
How do you verify the identity?
Sec(theta)/csc(theta) +sin(theta)/cos(theta)=2... (answered by lwsshak3)
How to verify this identity?
Please help explain.
verify the identity
1 + cos of (answered by stanbon)
How to establish this identity? Cos(theta)(tan(theta) + cot(theta)) = csc(theta)
Which (answered by Alan3354)