Chapter 1.7, Problem 10ES

Complete the identities using the triangle method (Figure $\mathrm{1.7.3}$ ).

(a) $\sin \left({\cos }^{-1}x\right)=?$

(b) $\tan \left({\cos }^{-1}x\right)=?$

(c) $\csc \left({\tan }^{-1}x\right)=?$

(d) $\sin \left({\tan }^{-1}x\right)=?$