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hope it helps ,
answer will be 2,
100% correct .
u can believe it ..
thanks
answer will be 2,
100% correct .
u can believe it ..
thanks
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anaya9:
welcome
Answered by
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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....
= 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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