SOLUTION: Solve equation, csc^2x = cotx + 1, on the interval 0 < or equal x < 2pi

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Question 1202700: Solve equation, csc^2x = cotx + 1, on the interval 0 < or equal x < 2pi
Found 2 solutions by Edwin McCravy, math_tutor2020:
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
 

 

Now use your calculator to find the inverse cotangent

Using the + sign
 answer in the first quadrant.
 answer in the third quadrant.

Using the - sign
 answer in the fourth quadrant.
 answer in the second quadrant.

Edwin
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!



Use a trig identity

Subtract 1 from both sides. The "1"s cancel.

Subtract cot(x) from both sides

Factor

or Set each piece equal to zero

or

or Use another trig identity.

I'll let the student finish up.
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