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Grade 11Trigonometry

Tan theta +cot theta=2,find value of tan100theta +cot100 theta

Profile image of Rija
8 Years agoGrade 11
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1 Answer

Profile image of sonika p
8 Years ago
tan theta + cot theta = 2
sin theta/cos theta + cos theta/ sin theta = 2
1/(sin theta * cos theta) = 2
sin 2theta = 1 
theta = pi/4
tan 100pi/4 + cot 100pi/4 = tan 25pi + cot 25pi = 0 + infinity
than 100theta + cot 100theta = infinity