Which one of the following number (s) is/are rational?
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
sin15∘
b
cos15∘
c
sin15∘cos15∘
d
sin15∘cos75∘
answer is C.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
we have,sin15∘=sin(45∘−30∘)=3−122⇒ sin15∘=14(6−2) which is an irrational number cos15∘=cos(45∘−30∘)=−3+122⇒ cos15∘=14(6+2) which is an irrational number sin15∘cos15∘=12sin30∘=14which is a rational number sin15∘cos75∘=sin215∘=12(1−cos30∘)=2−34 which is an irrational number