4sin 2x sin2x 0

Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem

Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Trigonometry Examples Popular Problems. Subtract from both sides of the equation. Apply the sine double - angle identity. Factor out of. If any individual factor on the left side of the equation is equal to , the entire expression will be equal to.

4sin 2x sin2x 0

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The period of the function is so values will repeat every radians in both directions. Any root of is. The sine function is positive in the first and second quadrants.

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Sin 2x vs 2 Sin x. Functions are one of the most important classes of mathematical objects, which are extensively used in almost all subfields of mathematics. The basic definition of the sine of an acute angle is done using a right-angled triangle. The sine of the angle is equal to the ratio of the length of the side opposite to an angle to the length of the hypotenuse. This function is quite similar to sin x with the domain as the set of real numbers and the range as the interval [-1, 1].

4sin 2x sin2x 0

Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Trigonometry Examples Popular Problems. Add to both sides of the equation. Divide each term in by and simplify. Divide each term in by. Simplify the left side.

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Multiply by. Combine the numerators over the common denominator. Next, add this reference angle to to find the solution in the third quadrant. The absolute value is the distance between a number and zero. Cancel the common factor of. This website uses cookies to ensure you get the best experience on our website. Solve for in. Combine fractions. The exact value of is. Add to both sides of the equation. Since does not fall in this range , there is no solution. The period of the function can be calculated using. Use to rewrite as. No solution.

Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Trigonometry Examples Popular Problems.

To find the second solution , subtract the reference angle from to find the solution in the second quadrant. Please ensure that your password is at least 8 characters and contains each of the following:. Replace with in the formula for period. The distance between and is. The absolute value is the distance between a number and zero. Take the inverse sine of both sides of the equation to extract from inside the sine. The period of the function can be calculated using. To write as a fraction with a common denominator , multiply by. The distance between and is. Evaluate the exponent. Take the inverse sine of both sides of the equation to extract from inside the sine. Step 2.