Question

Solve the equation? If sin 2phi + 2 = cos 5phi + 2​

Answer 1

Explanation:

To solve the equation sin(2phi) + 2 = cos(5phi) + 2, we can begin by simplifying it:

sin(2phi) + 2 = cos(5phi) + 2 sin(2phi) = cos(5phi)

Next, we can use the trigonometric identity sin(x) = cos(90 - x) to rewrite the equation:

sin(2phi) = sin(90 - 5phi)

Since the sine function is equal for angles that differ by multiples of 360 degrees or 2π radians, we can set the arguments of the sine functions equal to each other:

2phi = 90 - 5phi

Now, let's solve for phi:

2phi + 5phi = 90

Combining like terms:

7phi = 90

Dividing both sides by 7:

phi = 90/7

So, the solution to the equation is phi = 90/7.