Question

If sin?(Łº) + cos²(42) = 1, then what does L equal?

Answer 1

Ł=42°

Explanation:

We have the equation:

`\sin^2(\L) +\cos^2(42)=1`

Remember from the Pythagorean Identity that:

`\sin^2(\theta)+\cos^2(\theta)=1`

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!