Question

prove that sin 34 degrees by sin sin 56 degrees + cos 34 degrees by cos 56 degrees is equals to sec 34 degrees cosec 34 degrees

Answer 1

sin34/sin56 + cos34/cos56 = sec34cosec34

= sin34/cos(90-56) + cos 34/sin(90-56)

= sin34/cos34 + cos34/sin34

= sin*sin34 + cos*cos34/cos34*sin34

= 1/cos34 * 1/sin34

= sec34*cosec34.....

Hence Proved!