Thread: inverse trig

show that

Originally Posted by Tweety

show that

I think I can use calculus to solve your problem, since you wrote some threads in calculus sub-forum, which means that you know the derivatives.

For your problem:
In other words, you want to prove that:

Let , and
If you proved that
then, .
By substituting x = anynumber in the last equation you will get the value of .

Try it.

Hi Tweety,

Draw a right-angled triangle.
Label one acute angle A and the other B.
Label the side opposite A as x and the hypotenuse 1.

Inverse Sine and Inverse Cosine give you angle from the ratios of

and

For this triangle

and

and

Since the sum of the acute angles in a right-angled triangle is

your statement is proven.