SOLUTION: -1/(csc(-theta)) - (cot(-theta))/(sec(-theta)) = csc(theta)
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Question 1153470: -1/(csc(-theta)) - (cot(-theta))/(sec(-theta)) = csc(theta)
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
manipulate left side
.........since ,, and ....common denominator is ,
=
=
=
=
express all with and :
=
=
=
=....
=
=...simplify
=
=........use identity
=
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
Simplify the first term on the left by expressing everything in sin(x) and cos(x), and using sin(-x) = -sin(x):
Similarly, simplify the second term on the left:
The expression on the left is now
Combine terms using a common denominator and use sin^2(x)+cos^2(x)=1:
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