Chapter 1.7, Problem 11ES

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

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

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

(c) $\sin \left({\sec }^{-1}x\right)=?$

(d) $\cot \left({\sec }^{-1}x\right)=?$