#### To determine

If provided statement is true or false.

#### Answer

**Solution**: False.

#### Explanation

**Given**: tan−1x=sin−1xcos−1x.

Since

Left hand side =tan−1x

put x=0,1

tan−1(0)=0∘tan−1(1)=45∘

Right hand side =sin−1xcos−1x

put x=0,1

sin−1(0)cos−1(0)=0

sin−1(1)cos−1(1)= Not defined.

Left hand side ≠ Right hand side.

** **

**Conclusion**: Since, Left hand side and Right hand side are not equal at every value of x.

Hence, it is not true.