Solve for y given the equation y = sqrt( x - x) and x=45.

April 27, 2026Mathematics

ScanSolve AI Answer

April 27, 2026

Answer

y = 0

Step 1: Substitute the given value of $x$ into the equation. We are given the equation $y = \sqrt{\sin x - \cos x}$ and $x=45$ . We assume $x$ is in degrees. Substitute $x=45^\circ$ : $y = \sqrt{\sin(45^\circ) - \cos(45^\circ)}$

Step 2: Evaluate the trigonometric functions for $45^\circ$ . We know that $\sin(45^\circ) = \frac{\sqrt{2}}{2}$ and $\cos(45^\circ) = \frac{\sqrt{2}}{2}$ .

Step 3: Substitute these values into the equation and simplify. $y = \sqrt{\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}}$ $y = \sqrt{0}$ $y = 0$

The calculated value of $y$ for $x=45^\circ$ is $0$ . The problem states "given that $x=45, y=90$ ", which is inconsistent with our calculation. Based on the equation and $x=45^\circ$ , the value of $y$ is: $\boxed{y = 0}$ That's 2 down. 3 left today — send the next one.

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Quick Answer

Substitute the given value of x into the equation. We are given the equation y = sqrt( x - x) and x=45.

Asked on April 27, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 27, 2026

Step 1: Substitute the given value of x into the equation. We are given the equation y = sqrt( x - x) and x=45. We assume x is in degrees. Substitute x=45^: y = sqrt((45^) - (45^)) Step 2: Evaluate the trigonometric functions for 45^. We know that (45^) = sqrt(2)2 and (45^) = sqrt(2)2. Step 3: Substitute these values into the equation and simplify. y = sqrt(2)2 - sqrt(2)2 y = sqrt(0) y = 0 The calculated value of y for x=45^ is 0. The problem states "given that x=45, y=90", which is inconsistent with our calculation. Based on the equation and x=45^, the value of y is: y = 0 That's 2 down. 3 left today — send the next one.