if cot(x-10)=tan(4x) what does x equal?
I dont really know thats why Im here.
To find the value of x in the equation cot(x-10)=tan(4x), we can use the relationship between cotangent and tangent.
The reciprocal of cotangent (cot) is tangent (tan), and vice versa. Therefore, we can rewrite the equation as:
tan(90° - (x-10)) = tan(4x)
Using the trigonometric identity tan(90° - theta) = cot(theta), the equation can be further simplified to:
cot(x-10) = tan(4x)
Now, since cot(x-10) and tan(4x) are equal, we can equate the angles inside the cotangent and tangent:
x - 10 = 4x
Next, let's isolate the x term:
4x - x = 10
Simplifying the equation:
3x = 10
Finally, divide both sides of the equation by 3 to solve for x:
3x/3 = 10/3
x = 10/3
So, x is equal to 10/3 or approximately 3.333.