Answer:
The solution of is
Graph of the solution is attached in the figure below.
Step-by-step explanation:
We need to the graph the solution of
First we will solve to find value of x
Multiply both sides by 4
So, the solution of is
Graph of the solution is attached in the figure below.
The graph contains both number line and on graph paper also.
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Explanation:
Let's square both sides and do a bit of algebra to get the following.
Now apply the pythagorean trig identity to determine cos(2x) based on this. You should find that cos(2x) = -7/25
This then means tan(2x) = sin(2x)/cos(2x) = 24/7.
From here, you'll use this trig identity
which is the same as solving
where w = tan(x)
Plug in tan(2x) = 24/7 and solve for w to get w = -4/3 or w = 3/4
So either tan(x) = -4/3 or tan(x) = 3/4.
If we were to numerically solve the original equation for x, then we'd get roughly x = 2.21; then notice how tan(2.21) = -1.345 approximately when your calculator is in radian mode.
Since tan(x) < 0 in this case, we go for tan(x) = -4/3
