SOLUTION: Write the following expressions as a single fraction in terms of sin or cosine functions and simplify the result
a) ( sin A)(cot^2 A)( sec^2 A)
b) ( sec^2 A-1)(cos^2 A)
Can yo
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-> SOLUTION: Write the following expressions as a single fraction in terms of sin or cosine functions and simplify the result
a) ( sin A)(cot^2 A)( sec^2 A)
b) ( sec^2 A-1)(cos^2 A)
Can yo
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Question 810851: Write the following expressions as a single fraction in terms of sin or cosine functions and simplify the result
a) ( sin A)(cot^2 A)( sec^2 A)
b) ( sec^2 A-1)(cos^2 A)
Can you please help me out? Thanks so much in advance:) Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Write the following expressions as a single fraction in terms of sin or cosine functions and simplify the result
a) ( sin A)(cot^2 A)( sec^2 A)
Convert to sines and cosines
(sin(A))(cos^2(A)/sin^2(A)) *(1/cos^2(A))
----
= (sin(A))(1/sin^2(A))
----
= 1/sin(A)
= csc(A)
-----
b) ( sec^2(A)-1)(cos^2(A))
---
= (sec^2(A)(cos^2(A)) - cos^2(A)
----
= 1 - cos^2(A)
====
= sin^2(A)
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Cheers,
Stan H.
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