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Solve sin (α /7) =0 .
Solution
By Using a unit circle it isn't too difficult to see that the solutions to this equation are,
α /7 = 0 + 2 ? n ⇒ α = 14 ? n
α = 7 ? +14 ? n n= 0, ±1, ±2,............
α /7 = ? + 2 ? n
This next example has significant point that needs to be understood when solving some trig equations.
Tom has five times as many marbles as Jim. together they have 42 marbles. how many marbles does each has?
cos inverse x -cos inverse 2x=pie\2
-2+-9
The figure shows the sketch graphs of the functions
solve and graph the solution set 7x-4 > 5x + 0
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