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If sec 2A=cosec (A-42^@), where 2A is an...

If `sec 2A=cosec (A-42^@)`, where 2A is an acute angle, find the value of A.

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The correct Answer is:
`A = 44^(@)`
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VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. Evaluate : cos e c(65^0+theta)-sec(25^0-theta)-tan(55^0-theta)+cot(...

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  2. Evaluate the ((3 cos 43^(@))/(sin 47^(@)))^(2) - (cos 37^(@) "cosec...

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  3. If sec 2A=cosec (A-42^@), where 2A is an acute angle, find the value o...

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  4. If sin (A - B) = 0 , cos (A + B) = 0, 0^(@) lt A + B le 90^(@), find...

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  5. If tan (A + B) = sqrt(3) and tan (A - B) = 0, 0^(@) lt A + B le 90^(@...

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  6. Prove : ( 1+ tan^2 theta )(1 + sin theta )(1 - sin theta) = 1.

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

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  8. .If alpha+beta=90^(@), show that sqrt(cos alpha*csc beta-cos alpha*sin...

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  9. If tan theta =a/b, prove that (a sin theta- b cos theta)/(a sin theta+...

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  10. If sectheta=5/4 , find the value of (sintheta-2costheta)/(tantheta-...

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  11. If theta=30o , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

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  12. If theta=30o , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

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  13. If A = 30^(@) and B = 60^(@) , verify that cos (A + B) = cos A cos B -...

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  14. If A = 30^(@) and B = 60^(@), verify that sin (A + B) = sin A cos B + ...

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  15. If cottheta=(15)/8,t h e ne v a l u a t e((2+2sintheta)(1-sintheta)/((...

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

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  17. If sqrt(3) tan theta=3 sin theta and theta!=0 then find the value of s...

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

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  19. If sintheta=(a^2-b^2)/(a^2+b^2) then find 1+tantheta*costheta.

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  20. If costheta +sin theta= sqrt(2)cos theta, then prove that costheta-sin...

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