SOLUTION: Verify The Following Identities: 1.cotα + tanα = cscα secα 2.cos θ cot θ ----------- - 1 = csc θ 1 - sin θ

Algebra ->  Trigonometry-basics -> SOLUTION: Verify The Following Identities: 1.cotα + tanα = cscα secα 2.cos θ cot θ ----------- - 1 = csc θ 1 - sin θ      Log On


   

Question 855272: Verify The Following Identities:
1.cotα + tanα = cscα secα

2.cos θ cot θ
------------ - 1 = csc θ
1 - sin θ
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Verify The Following Identities:
1.cotα + tanα = cscα secα
----
cos/sin + sin/cos = (1/sin)(1/cos)
-----
(cos^2 + sin^2)/(sin*cos) = 1/(sin*cos)
============================================
2.cos θ cot θ
------------ - 1 = csc θ
1 - sin θ
-----------
(cos^2/sin)/(1-sin) -1 = 1/sin
-------
(1-sin^2)/[sin(1-sin)] = 1 + 1/sin
------
(1+sin)/sin = (sin+1)/sin
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Cheers,
Stan H.
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