A) 0
B) 1
C) -1
D) 2
Correct Answer: B
Solution :
\[{{\cos }^{-1}}\frac{3}{5}-{{\sin }^{-1}}\frac{4}{5}={{\cos }^{-1}}x\] \[\Rightarrow {{\cos }^{-1}}\frac{3}{5}-{{\cos }^{-1}}\sqrt{1-\frac{16}{25}}={{\cos }^{-1}}x\] \[\Rightarrow {{\cos }^{-1}}\frac{3}{5}-{{\cos }^{-1}}\frac{3}{5}={{\cos }^{-1}}x\] \[\Rightarrow {{\cos }^{-1}}x=0\Rightarrow x=1\].
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