Thread: inverse trig squaring

By squaring both sides of y=sincos^-1 (x) and using the identity sin^2 x + cos^2 x = 1. Show that y=Sqrt(1-x^2)

I'm not sure how to square an inverse function.

Thannk you

Originally Posted by deltaxray

By squaring both sides of y=sincos^-1 (x) and using the identity sin^2 x + cos^2 x = 1. Show that y=Sqrt(1-x^2)

I'm not sure how to square an inverse function.

Thannk you

Whenever you have an inverse function, you should give it a name. That helps. Let us call as . This means .
Now let us read your question. You know that

Now can you write in terms of and finish the problem?

Do not forget to substitute the variable back.

thank you

I got it