If Sin 3x= Cos (x-60), find the value of x
1 answer:
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
You might be interested in
Answer:
x
Step-by-step explanation:
We are given that measure of an exterior angle which are drawn at vertex M=x
We have to find the value of measurement of angle L+measurement of angle N.
Exterior angle:It is defined as that angle of triangle which is formed by the one side of triangle and the extension of an adjacent side of triangle. The measure of exterior angle is equal to sum of measures of two non-adjacent interior angles of a triangle.
Angle L and angle N are two non-adjacent angles of a given triangle LMN.
By definition of exterior angle
x=Measure of angle L+Measure of angle N
Answer:
2 percent
Step-by-step explanation:
We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.
Now cross multiply.
x will be removed.
Simplifying this fraction will get you , which in percentage form, will be 2 percent.