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Hi, How do you find the difference of two different inverse functions such as f(x)= 2tan-1 √x and g(x)= sin-1 (x-1)/(x+1)? Since it differ by a constant. I know the difference is pi/2 using a graphing calculator. Thanks

Question: Two parallel tangents to a circle, centre O, are cut a P and Q by a third tangent. Find the size of angle POQ. I have drawn the diagram and used theorems like tangents cut at external point; radius-tangent theorem. But this is not working. I really appreciate it if someone could...

1) Three baskets each contain three identical balls. The first basket has white balls init, the second yellow balls and the third purple balls. Giving clear reasons, in how many ways can three balls be arranged in a row if: (i) the balls are of different colours (ii) all three balls are of the...

Sorry, I meant one of the smaller sides of the triangle.

I have drawn a triangle and found the hypotenuse to be 2root2. Is this correct? or am I suppose to use t-results?

Hi, I need help with solving these questions. 1) Find all angles θ, in radians, such that cos θ (3 cos θ - sin θ) = sin 2θ 2)If sin θ = 1/3 and 90 < θ < 180, find the simplest exact value for: (i) tan θ (ii) tan 2θ (iii) tan θ/2 Thanks