SOLUTION: write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression
sin^2x + sin^2 x cot^2 x
and
sin^2x-1/cos(-x)
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Question 852861: write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression
sin^2x + sin^2 x cot^2 x
and
sin^2x-1/cos(-x)
Answer by DrBeeee(684) (Show Source): You can put this solution on YOUR website!
Given;
(1)
Use the identity
(2)
and square both sides to get
(3)
Now substitute (3) into (1) and get
(4) or
(5)
Since
(6)
You have
(7)
Answer: 1
Also given
(8)
Using (6) we get
(9)
Now put (9) into (8) to get
(10) or
(11) and
Since the cosine is an even function we have
(12)
Then (11) reduces to
(13)
Answer:
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