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The base of a triangle is divided into t...

The base of a triangle is divided into three equal parts.
If `theta_(1), theta_(2), theta_(3)` be the angles subtended by these parts at the vertex,
then prove that `(cot theta_(1) +cot theta_(2) ) (cot theta_(2)+ cot theta_(3))=4 cosec ^(2) theta _(2)`

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Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Subjective Type Questions)
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  8. If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin...

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  9. In a triangle ABC, if the sides a,b,c, are roots of x^3-11 x^2+38 x-40...

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  10. If the sides a,b,c are in A.P., prove that (tan)A/2+ (tan) c/2=2/3( co...

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  11. The sides of a triangle are in A.P. and its area is (3)/(5) th of an e...

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  12. If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)...

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  13. Let AD be a median of the Delta ABC. If AE and AF are medians of the ...

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  14. Find the radian measure corresponding to following degree measure 3...

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  15. DeltaABC is equilateral triangle of side a. P lies on AB such that A i...

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  16. The base of a triangle is divided into three equal parts. If theta(1)...

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  17. Find the value of sin ((31pi)/3)

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  18. If the angle at the vertex of an isosceles triangle having the maximum...

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  19. Find the value of trigonometric function sin((5pi)/3)

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