Answer:
Step-by-step explanation:
we would like to solve the following trigonometric equation:
the left hand side can be rewritten using <u>angle </u><u>sum </u><u>indentity</u><u> </u><u>of </u><u>sin </u>which is given by:
therefore Let
Thus substitute:
simplify addition:
keep in mind that <u>sin(</u><u>t)</u><u>=</u><u>sin(</u><u>π-t)</u><u> </u>saying that there're two equation to solve:
take inverse trig and that yields:
add π to both sides of the second equation and that yields:
sin function has a period of <u>2</u><u>n</u><u>π</u><u> </u>thus add the period:
divide I equation by 4 and II by -4 which yields:
recall that,<u>-</u><u>½</u><u>(</u><u>nπ)</u><u>=</u><u>½</u><u>(</u><u>nπ)</u><u> </u>therefore,
by using a calculator we acquire:
hence,
the general solution for: for the trig equation are
Answer:
B.
Step-by-step explanation:
The original equation is cos 64 = 32/k. To solve for k we need to isolate it. we can multiply by k then divide by cos 64. This gives us the equation k = 32/cos 64. Therefore, B is the right answer.
3(2x + 6) hope this helps
Answer:
256 just add them all up and u get the answer
Do you know the Combination Formula? If Not it is (n!)/r!(n - r)!
I think n would equal 6, and r would equal 2. So it would be 6!/2!(4!)
I believe you can do this yourself now that I've given you an equation.