Solve each equation for x, where x is restricted to the given ...

Question

Solve each equation for x, where x is restricted to the given interval.

y = 3 tan 2x , for x in [―π/4, π/4]

Accepted Answer

Solve the following equation for XX slides in the interval negative pi divided by 10, 2 pi divided by 10. With our equation is Y equals 7, 10 5 X. We have four possible answers being X equals five tangent inverse Y divided by seven X equals 1/5 inverts Y divided by seven X equals five T in verse seven, Y nx equals 1/5 tangent in verse seven Y. Now to solve this, I'm first going to rewrite this equation to have X on the left side, we'll write this as 75 X equals Y. No, we want to have X by itself, but we actually can't solve directly for X just yet because it's inside of our tangent function. So we have to do some other things before we can software it. For example, we can first divide both sides by seven, we would end up giving tangent by X equals Y divided by seven. Now X is still inside the tangent function. So let's remove our tangent function. We can do this by taking tangent inverse on both sides of our equations. The tangent and verse tangent will cancel out giving us five X equals tangent and verse Y divided by seven. Finally, we can divide both sides by five to get X by itself the resulting and the answer X equals 1/5 tangent inverse Y divided by seven. If we look at our possible answers, we can then see the answer to our problem is answer B OK. Hope to help you solve the problem. Thank you for watching. Goodbye.

Struggling with Trigonometry?

Solve each equation for x, where x is restricted to the given interval.
y = 3 tan 2x , for x in [―π/4, π/4]

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