if sinteta=costeta,where0<teta<90,then tanteta+cotteta
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What is question ?????
Answered by
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Answer:
2
Step-by-step explanation:
if sin theta = cos theta
therefore sin theta = cos(90 - theta)
therefore cos(90 - theta ) = cos theta
therefore 90 - theta = theta
so 2 theta = 90
therefore theta = 90/2 = 45
therefore tan theta + cot theta = ?
sin 45 =√2/2 and cos 45 = √2/2
tan theta = sin theta / cos theta
and cot theta= 1/ tan theta = cos theta / sin theta
therefore tan theta + cot theta = (√2/2 ÷ √2/2) + (√2/2 ÷ √2/2)
which is equal to 1+1 =2
therefore final answer= 2
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