Analysis Quiz 6:
IMO Mock Trigonometric Math Quiz
Please answer the following questions based on the trigonometric equation below:
$\sin 9x-\csc^2 x=5\sin 3x+9\tan^2 x-1$
Question 1.
Would you convert the cosecant function to the sine function to solve the trigonometric equation above?
Yes.
No.
Perhaps.
Answer:
For an old hand like me (I'm not old at all, hehehe...), I could say right up front, loudly that I would not convert the cosecant function to the sine function in this case! But, if you are new and eager to learn, I will lead you to the answer, just that you have to be patient.
Showing posts with label multiplying both sides. Show all posts
Showing posts with label multiplying both sides. Show all posts
Solving Hard System
Solve the system
$\dfrac{1}{x}+\dfrac{1}{y+z}=\dfrac{1}{2}$
$\dfrac{1}{y}+\dfrac{1}{x+z}=\dfrac{1}{3}$
$\dfrac{1}{z}+\dfrac{1}{x+y}=\dfrac{1}{4}$
Method I (Long and tedious but workable solution):
$\dfrac{1}{x}+\dfrac{1}{y+z}=\dfrac{1}{2}$
$\dfrac{1}{y}+\dfrac{1}{x+z}=\dfrac{1}{3}$
$\dfrac{1}{z}+\dfrac{1}{x+y}=\dfrac{1}{4}$
Method I (Long and tedious but workable solution):
Subscribe to:
Posts (Atom)