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| Math Central | Quandaries & Queries |
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Question from tony, a student: list all real solutions of the equation that are in the interval [0,2π) 2cos(x) + tan(x) = sec(x) |
Hi Tony.
First convert this to sine and cosine:
Then multiply by cos(x):
Now use the identity sin2 (x) + cos2 (x) = 1 to change it all to a single trig function:
And this is just a quadratic in sin(x). So you can use the quadratic formula if you wish, or try to factor it.
Can you finish the problem now?
Penny and Stephen La Rocque.
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