Question icon
Grade 11Trigonometry

2)COS12 – SIN12 /CO12+SIN12 + SIN147/ COS147
  1. 1
  2. -1
  3. 0
  4. NONE

Profile image of KRISHA SHETH
8 Years agoGrade 11
Answers icon

1 Answer

Profile image of Arun
8 Years ago
Dear Krisha
 
[cos(90-78) - sin12/ cos(90-78) + sin12 ] + sin147/cos147]
 
= [sin78 - sin12]/[sin78 + sin12]  +sin(180-33)/cos(180-33)
 
= [(2 cos 45 sin 33)/(2 sin 45 cos33)] + sin 33/(-cos 33)
 
Since cos 45 = sin 45, hence they can be cancelled
 
= Sin 33/ cos33  - sin 33/cos33
= 0
 
Regards
Arun (askIITians forum expert)