SOLUTION: cos(x+(π/2))-cos(2x)=0
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Question 429870: cos(x+(π/2))-cos(2x)=0
Found 2 solutions by robertb, Gogonati:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
In the interval [0, ), either
, or
==> , or
, or (Same as the first solution.)
Therefore the general solution is , where n is any integer.
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
Solution:From the trigonometry we know that:
, and cos(90+x)=-sin(x). Now we write:
, substitute six=a and rewrite the equation:
, which is a quadratic equation. Solve this equation:
There are two roots: a=1 and a=-1/2, thus we have: sin(x)=1 and sin(x)=-12
Solve now these two trigonometric equations and find:
x=2n*+ /2,
x=2n*-/6, and x=2n*+/6
Done.
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