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If cottheta=1/(sqrt(3)) , show that (...

If `cottheta=1/(sqrt(3))` , show that `(1-cos^2theta)/(2-sin^2theta)=3/5`

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If cot theta=(1)/(sqrt(3)), show that (1-cos^(2)theta)/(2-sin^(2)theta)=(3)/(5)

If cot theta=(1)/(sqrt(3)), find the value of (1-cos^(2)theta)/(2-sin^(2)theta)

If cos theta+sin theta=sqrt(2)cos theta, show that cos theta-sin theta=sqrt(2)sin theta

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If 3cot theta=4 then show that (1-tan^(2)theta)/(1+tan^(2)theta)=(cos^(2)theta-sin^(2)theta)

If sin theta=(1)/(2), show that (3cos theta-4cos^(3)theta)=0

If sec theta=(13)/(5), show that (2sin theta-3cos theta)/(4sin theta-9cos theta)=3

If 3 cot theta= 2 , show that ((4 sin theta - 3 cos theta ))/((2 sin theta + 6 cos theta))=(1)/(3)

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VK GLOBAL PUBLICATION-INTRODUCTION TO TRIGONOMETRY-PROFICIENCY EXERCISE (SHORT ANSWER QUESTIONS-II)
  1. In DeltaABC, right-angled at C, find cos A, tan A and cosec B if sin A...

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  2. In fig. 10.11, find sin A, tan A and cot A.

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  3. If cottheta=1/(sqrt(3)) , show that (1-cos^2theta)/(2-sin^2theta)=3...

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  4. If tan theta = (1)/(3) , find other five trigonometric ratios.

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  5. Write all the other trigonometric ratios of angleB in terms of tan B.

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  6. In DelatOPQ , right - angled at P , OP = 7 cm and OQ - PQ =1 cm . Dete...

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  7. In DeltaABC, right-angled at B, AB = 3 cm and angleBAC = 60^(@) . Dete...

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  8. Evaluate the equation ;- cos 90^(@) sin 0^(@) - sin 0^(@) cos 90^(@...

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

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  10. 2sin^2(30^@) - 3cos^2(45^@)+tan^2(60^@)

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  11. Evaluate the cot^(2) 30^(@) - 2 cos^(2) 60^(@) - (3)/(4) sec^(2) 45...

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  12. Evaluate the (tan^(2) 60^(@) + 4 cos^(2) 45^(@) + 3 sec^(2) 30^(@) ...

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  13. Evaluate the (tan 45^(@))/("cosec" 30^(@)) + (sec 60^(@))/(cot 45^(...

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  14. Evaluate the equation:- (sec 70^(@))/("cosec" 20^(@)) + (sin 59^(@)...

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  15. Show that tan48^(@) tan 23^(@) tan 42^(@) tan 67^(@) =1.

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  16. Prove that : (i) (sin 70^@)/(cos 20^@)+(cosec 20^@)/(sec 70^@)-2cos ...

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  17. Evaluate : cos e c(65^0+theta)-sec(25^0-theta)-tan(55^0-theta)+cot(...

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

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

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

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