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

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

Grade:11

1 Answers

sonika p
129 Points
4 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

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