Its always a good idea to state the domain for x before solving so: and .Solve the following equation
sin^-1 (x) - cos^-1 (x) = sin^-1 (3x+1)
In case anyone does not see through why this part of the step is true:Its always a good idea to state the domain for x before solving so: and .
Now take the sin of both sides to obtain:
Note that: and by the pythagorean identities, we only have to take the positive case here since
But so the only solution is:
ur trolling.FYI we mark the BoS trials in similar way to HSC lol. You can’t just assume results like that without proof, otherwise you can argue the result you’re trying to prove in the first place is also “trivial”.