if sin 41'=m. write m in terms of cos 41'
we know
sin^2 41° + cos^2 41° = 1
m^2 = 1 - cos^2 41°
m = ±√(1 - cos^2 41°)
To find the value of m in terms of cos 41°, we can use the identity sin^2θ + cos^2θ = 1.
Let's start by finding the value of cos 41°.
To calculate cos 41°, we can use the identity sin^2θ + cos^2θ = 1, rearranged to cos^2θ = 1 - sin^2θ.
Substituting the given angle, we have:
cos^2 41° = 1 - sin^2 41°.
Now, substitute m for sin 41°:
cos^2 41° = 1 - m^2.
To find cos 41°, we can take the square root of both sides of the equation:
cos 41° = ±√(1 - m^2).
Therefore, m in terms of cos 41° would be:
m = ±√(1 - cos^2 41°).