Answer:
Ł=42°
Step-by-step explanation:
We have the equation:
[tex]\sin^2(\L) +\cos^2(42)=1[/tex]
Remember from the Pythagorean Identity that:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
So, the angles within our trig functions must be exactly the same.
Therefore, since the angle within cosine is 42°, this means that our angle within sine, Ł, must also be 42°.
And we're done!
