Math, asked by anaya9, 1 year ago

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Answered by TheKnowledge
1
hope it helps ,



answer will be 2,


100% correct .


u can believe it ..



thanks
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anaya9: welcome
Answered by dhruvsh
3
Tan theta + cot theta
= sin theta / cos theta + cos theta / sin theta
= sin^2theta + cos^2 theta / sin theta * cos theta ........1

Now ,
Sin theta + cos theta = root 2
( sin theta + cos theta)^2 = ( root 2 )^2
Sin^2theta + cos^2 theta + 2 sin theta * cos theta = 2
1 + 2 sin theta cos theta = 2
2 sin theta cos theta = 1
Sin theta cos theta = 1/2 ....2
Now,
Substitute 2 in 1,
Sin^2 theta + cos^2 theta / sin theta cos theta
= 1 / 1/2
= 2.

Hope this helps....
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