The value of θ is 45 degrees as sin45° is equal to 1/√2.
<h3>What is trigonometric equation?</h3>
Trigonometric equation refers to an equation consists of a number of trigonometric ratios whose angle is unknown.
<h3>What is the ranges of trigonometric angle?</h3>
Generally trigonometric angles are represented by θ. while solving equations we get the values of θ ranges from 0 degree to 90 degrees.
Given, 2sin²θ = 1
solving the equation
sin²θ = 1/2
sinθ = 1/√2
we know sin45° has a specific value 1/√2
sinθ = sin 45°
now, θ = 45°
hence, the solution is θ = 45 degrees.
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The answer is -183 because the negative is the biggest number so it stays negative
since perimeter is the total of the length plus length plus width plus width:
L+L+W+W= 78 cm (given in the problem) as the total perimeter; and remember the length (we are told in the problem) is equal to 2 times width. so:
3 +2w+3+2w=78
6 +4w=78
6+4w-6=78-6
4w=72
w=18