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If sin theta+cos theta=sqrt3, then prove...

If `sin theta+cos theta=sqrt3,` then prove that `tan theta+cot theta=1`

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VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-SHORT ANSWER QUESTIONS-II
  1. Given 15"\ "cot"\ "A"\ "="\ "8 , find sin A and sec A.

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  2. Find t a n"\ "P"\ ""\ "cot"\ "R .

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  3. If sin theta+cos theta=sqrt3, then prove that tan theta+cot theta=1

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  4. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

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  5. Without using trigonometric tables, evaluate each of the following: (...

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  6. (2sin68^(@))/(cos22^(@))-(2cot15^(@))/(5tan75^(@))-(3tan45^(@).tan20^(...

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  7. (sin^(2) 20^(@) + sin^(2) 70^(@))/(cos^(2) 20^(@) + cos^(2) 70^(@)) + ...

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  8. Evaluate: sin 25^(@) cos 65^(@) + cos 25^(@) sin 65^(@).

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  9. Without using tables, evaluate the following: 3 cos 68^(@) . "cosec"...

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  10. If sin 3 theta = cso ( theta - 6^(@)) where 3 theta and theta - 6^(@) ...

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  11. If sectheta=x+1/(4x),p rov et h a t :sectheta+tantheta=2xor ,1/(2x)

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  12. Find an acute angle theta , when (costheta-sintheta)/(costheta+sinthet...

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  13. The altitude A D of a A B C , in which /A obtuse and, A D=10c mdot If...

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  14. If cos e c\ theta=(13)/(12) , find the value of (2sintheta-3\ cos\ ...

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  15. Prove that (tan A )/(1 + sec A) - (tan A )/(1 - sec A ) = 2 cosec A.

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  16. Prove: (cos^(3)theta+sin^(3)theta)/(cos theta+sin theta)+(cos^(3)theta...

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  17. सिद्ध करें कि cot theta-tan theta=(2 cos^(2)theta-1)/(sin theta*cos...

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  18. Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

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  19. Evaluate the (sin 30^(@) + tan 45^(@) - "cosec" 60^(@))/(sec 30^(@)...

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  20. Evaluate the following (i) s in"\ "60o"\ "cos"\ "30o"\ "+"\ "s in"...

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