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Tan theta+cot theta =2,then fnd the value of tan100theta+ cot 100 theta

Tan theta+cot theta =2,then fnd the value of tan100theta+ cot 100 theta

Grade:11

1 Answers

Arun
25758 Points
5 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 = not defined

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