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Evaluate : (sec^(2)theta-cot^(2)(90^(@)-...

Evaluate : `(sec^(2)theta-cot^(2)(90^(@)-theta))/("cosec"^(2)67^(@)-tan^(2)23^(2))+(sin^(2)40^(@)+sin^(2)50^(@))`

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2 = RHS.
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( Sec^2 theta - cot ^2 (90 - theta))/( cosec ^2 67^@ - tan ^2 23^@) + sin ^2 40 ^@ + sin ^2 50^@ is equal to

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(sec^(2)theta-sin^(2)theta)/(tan^(2)theta)=cosec^(2)theta-cos^(2)theta

Evaluate: (sec theta csc(90^(0)-theta)-tan theta cot(90^(0)-theta)+sin^(2)55^(0)+sin^(2)35^(@))/(tan10^(0)tan20^(0)tan60^(@)tan70^(0)tan80^(0))

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prove that: tan^(2) theta-cot^(2) theta=sec^(2) theta- cosec^(2) theta

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VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-SHORT ANSWER QUESTIONS-II
  1. If sectheta=x+1/(4x),p rov et h a t :sectheta+tantheta=2xor ,1/(2x)

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

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

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

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

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

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

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

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

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

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  11. If tan(A+B)=sqrt(3) and t a n(A B)=1/(sqrt(3)); 0o<A+Blt=90o;""...

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  12. If A, B and C are interior angles of a triangle ABC, then show that si...

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

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  14. Prove that: (sin theta - 2 sin^(3) theta) = (2cos^(3) theta - cos the...

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  15. (sin A+cosec A)^(2)+(cos A+sec A)^(2)=7+tan^(2)A+cot^(2)A

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  16. Prove each of the following identities : (1+ cos theta - sin^(2) th...

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  17. 1/(sinA+cosA+1)+1/(sinA+cosA-1)=secA+c o s e c A

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  18. Prove that (cos A)/(1+sin A)+(1+sin A)/(cos A)=2sec A

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  19. Evaluate : (sec^(2)theta-cot^(2)(90^(@)-theta))/("cosec"^(2)67^(@)-tan...

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  20. Evaluate : (sec theta ."cosec" (90^(@) - theta) - tan theta.cot (90^(@...

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