Given that sin 32 x cos 32 y tan 32 z all in degree Find

Given that sin 32 = x, cos 32 = y, tan 32 = z, \"all in degree\". Find the six function values of 58 in terms of x , y , and z.

https://s23.postimg.org/duvmfmoa3/question1.jpg

Solution

sin 32=x , cos 32=y , tan 32=z

sin 58= sin(90-32) = cos 32 =y

cos 58=cos(90-32)=sin58=x

tan 58=sin58/cos 58=y/x=1/z

cot 58=1/tan 58=z

Sec 58= 1/cos 58= 1/x

csc 58=1/sin58=1/y