Solve the following equation for `x :` `"cos"(tan^(-1)x)=sin(cot^(-1)3/4)`,and
`tan(cos^(-1)x)=sin(cot^(-1)1/2)`

Explanation

To solve the equations given in the problem, we will tackle each equation step by step.

### Equation 1:
**Solve:** \( \cos(\tan^{-1} x) = \sin(\cot^{-1} \frac{3}{4}) \)

1. **Left Side:** Start with \( \cos(\tan^{-1} x) \).
- Let \( \theta = \tan^{-1} x \). Then, \( \tan \theta = x \).
- In a right triangle, opposite side = \( x \) and adjacent side = \( 1 \).
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