SOLUTION: How do I solve the following question: cos square x - 2sinxcosx - sin square x = 0?

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Question 390450: How do I solve the following question: cos square x - 2sinxcosx - sin square x = 0?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The equation simplifies to

cos+%282x%29+-+sin+%282x%29+=+0

cos+%282x%29+=+sin+%282x%29

tan+%282x%29+=+1

2x+=+pi%2F4 or 2x+=+5pi%2F4

x+=+pi%2F8 or x+=+5pi%2F8

Note that we may add any integer multiple of pi to x, as 2x will be periodic with period 2pi.