Question icon
Grade 8Trigonometry

What is the value of ( cos theta + sin theta / cos theta -sin theta ) - ( cos theta - sin theta / cos theta + sin theta )

Profile image of Atika
8 Years agoGrade 8
Answers icon

1 Answer

Profile image of Arun
8 Years ago
Dear student
 
(Cos theta + sin theta)² / (cos²theta - sin² theta)  -  (cos theta- sin theta)²/(cos² theta - sin² theta)
= 4 cos theta* sin theta/ cos (2 theta)
= 2 * 2sin (2 theta)/ cos (2 theta)
= 2 tan (2 theta)
 
Regards
Arun (askIITians forum expert)