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Prove that : (cosec theta)/(cosec theta-...

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

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Prove that : (sin theta)/(1+cos theta) + (1+cos theta)/(sin theta)= 2 cosec theta .

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

Prove the following identity : (sin theta+ cos theta) (sec theta+ cosec theta) =2+ sec theta cosec theta .

Prove the following identity : (cot theta+ cosec theta -1)/(cot theta- cosec theta +1)= (1+ cos theta)/(sin theta) .

Prove that (sin theta- "cosec" theta )(cos theta- sec theta )=(1)/(tan theta + cot theta).

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)

Prove that: (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

Prove the following identity : (sin theta)/(1+cos theta)+ (tan theta)/(1+cos theta)= sec theta cosec theta- cot theta .

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.

Prove the following identity : (tan theta-cot theta)/ (sin theta cos theta)= sec^2 theta- cosec^2 theta .

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec thet...

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  2. Find the radian measure corresponding to the following degree measure ...

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

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  4. Find the radian measure corresponding to the following degree measure ...

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  5. Find the radian measures corresponding to the following degree measure...

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  6. Find the radian measure corresponding to the following grade measure :...

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  7. Find the radian measure corresponding to the following grade measure :...

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  8. Find the radian measure corresponding to the following grade measure :...

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  9. Find thedegree measure corresponding to the following measure. (Use pi...

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  10. Find thedegree measure corresponding to the following measure. (Use pi...

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  11. Find thedegree measure corresponding to the following measure. (Use pi...

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  12. Find thedegree measure corresponding to the following measure. (Use pi...

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  13. The angles of a triangle are3x^@, ((4x)/3)^g and (2 pi x)/75 radians. ...

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  14. Express the radians the fourth angle of a quadrilateral which has thre...

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  15. The sum of two angles is 80 grades and their difference is 18^@. Find ...

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  16. The angles of a triangle are in the ratio 1 : 2: 3. Find the angles in...

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  17. The vertical angle of an isosceles triangle is 2/3 rd of each of its b...

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  18. In a right-angled triangle, the difference between two acute angles is...

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  19. The wheel of a carriage is 91 cm in diameter and makes 5 revolutions p...

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  20. A wheel makes 360 revolutions in one minute. Through how many radians ...

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  21. Find the length of the arc of a circle of radius 5 cm subtending an an...

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