SOLUTION: Verify the trigonometric identity by transforming the left hand side into the right hand side. sinθ / 1-cosθ = cscθ + cotθ

Algebra ->  Trigonometry-basics -> SOLUTION: Verify the trigonometric identity by transforming the left hand side into the right hand side. sinθ / 1-cosθ = cscθ + cotθ       Log On


   



Question 844615: Verify the trigonometric identity by transforming the left hand side into the right hand side.
sinθ / 1-cosθ = cscθ + cotθ







Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Verify the trigonometric identity by transforming the left hand side into the right hand side.
sinθ / 1-cosθ = cscθ + cotθ
-----
Multiply numerator and denominator by 1+cos(t) to get:
-------
[sin(1+cos)]/sin^2 = csc + cot
------
[sin + sin*cos]/sin^2 = csc + cot
------
[sin/sin^2)+[sin*cos]/sin^2 = csc + cot
----
[1/sin] + [cos/sin] = csc + cot
-----
csc + cot = csc + cot
============================
Cheers,
Stan H.
================