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Simplify <span><span><span>12</span>x</span><span><span>12</span>x</span></span> to <span><span>x2</span><span>x2</span></span>
<span><span><span>x2</span>−<span>34</span>y=−2</span><span><span>x2</span>−<span>34</span>y=−2</span></span>
2 Simplify <span><span><span>34</span>y</span><span><span>34</span>y</span></span> to <span><span><span>3y</span>4</span><span><span>3y</span>4</span></span>
<span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span></span>
3 Subtract <span><span>x2</span><span>x2</span></span> from both sides
<span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span></span>
4 Multiply both sides by <span>44</span>
<span><span>−3y=(−2−<span>x2</span>)×4</span><span>−3y=(−2−<span>x2</span>)×4</span></span>
5 Regroup terms
<span><span>−3y=4(−2−<span>x2</span>)</span><span>−3y=4(−2−<span>x2</span>)</span></span>
6 Divide both sides by <span><span>−3</span><span>−3</span></span>
<span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span></span>
7 Simplify <span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span> to <span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
<span><span>y=−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
<span><span><span>x2</span>−<span>34</span>y=−2</span><span><span>x2</span>−<span>34</span>y=−2</span></span>
2 Simplify <span><span><span>34</span>y</span><span><span>34</span>y</span></span> to <span><span><span>3y</span>4</span><span><span>3y</span>4</span></span>
<span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span><span><span>x2</span>−<span><span>3y</span>4</span>=−2</span></span>
3 Subtract <span><span>x2</span><span>x2</span></span> from both sides
<span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span><span>−<span><span>3y</span>4</span>=−2−<span>x2</span></span></span>
4 Multiply both sides by <span>44</span>
<span><span>−3y=(−2−<span>x2</span>)×4</span><span>−3y=(−2−<span>x2</span>)×4</span></span>
5 Regroup terms
<span><span>−3y=4(−2−<span>x2</span>)</span><span>−3y=4(−2−<span>x2</span>)</span></span>
6 Divide both sides by <span><span>−3</span><span>−3</span></span>
<span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span><span>y=<span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span></span>
7 Simplify <span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span><span><span>4(−2−<span>x2</span>)</span><span>−3</span></span></span> to <span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span><span>−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
<span><span>y=−<span><span>4(−2−<span>x2</span>)</span>3</span></span></span>
Given tan of theta = -2 and pi/2; find cos(2theta)
The identity of cos (2 theta)=
Given tan of theta = -2 and pi/2.
So, let's plug in tan theta= -2
= (Squaring)
= (simplifying)
So, cos ( 2 theta) = -3/5.
Now we can plug in tan theta = π/2
= (Squaring)
= Simplifying
So, cos ( 2 theta)= -3/5 and (4-pi^2)/(4+pi^2)
