Question

Show that √3 cos23-sin23=2cos53

Answer 1

Answer:

Step-by-step explanation:

√3 can be written as tan 60

tan 60 cos 23 - sin 23

(sin 60 /cos 60) cos 23 - sin 23

= sin 60 cos 23 - sin 23 cos 60 / cos 60

= sin ( 60 - 23 )  / cos 60

= sin 37 / ( 1/2)

= 2 sin 37 = 2 sin ( 90 - 53 )

= 2 cos 53