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Without using trigonometric tables, evaluate each of the following: `(cos^2 20^0+cos^2 70^0)/(sec^2 50^0-cot^2 40^0)+2cos e c^2 58^0-2cot58^0tan32^0-4tan13^0tan37^0tan45^0tan53^0tan77^0`

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Without using trigonometric tables, evaluate each of the following: (cos^2 20^0+cos^2 70^0)/(sec^2 50^0-cot^2 40^0)+2cosec^2 58^0-2cot58^0tan32^0- 4tan13^0tan37^0tan45^0tan53^0tan77^0

Without using trigonometric tables,evaluate each of the following: (2)/(3)cos ec^(2)58^(@)-(2)/(3)cot58^(@)tan32^(@)-(5)/(3)tan13^(0)tan37^(0)tan45^(@)tan53^(@)tan77^(0)

Without using trigonometric tables, evaluate each of the following: (-tanthetacot(90^0-theta)+secthetacos e c(90^0-theta)+sin^2 35^0+sin^2 55^0)/(tan10^0tan20^0tan30^0tan70^0tan80^0)

Without using trigonometric tables, evaluate the following: (sec37^0)/(cos e c53^0)+2cot15^0cot25^0cot45^0cot75^0cot65^0(sin^2 18^0+sin^2 72^0)

Without using trigonometric tables,evaluate each of the following: (sec^(2)54^(0)-cot^(2)36^(@))/(cos ec^(2)57^(0)-tan^(2)33^(0))+2sin^(2)38^(@)sec^(2)52^(0)-sin^(2)45^(@)

Without using trigonometric tables,evaluate each of the following: (sec39^(0))/(cos ec51^(0))+(2)/(sqrt(3))tan17^(0)tan38^(@)tan60^(@)tan52^(@)tan73^(@)-3(sin^(2)31^(0)+sin^(2)59^(@))

Without using trigonometric tables,evaluate the following:- 2((cos58^(@))/(sin32^(@)))-sqrt(3)((cos38^(@)cos ecs2^(@))/(tan15^(@)tan60^(@)tan75^(@)))

Without using trigonometric tables,evaluate each of the following: (sin^(2)20^(@)+sin^(2)70^(@))/(cos^(2)20^(0)+cos^(2)70^(@))+(sin(90^(@)-theta)sin theta)/(tan theta)+(cos(90^(@)-theta)cos theta)/(cot theta)+cos(40^(0)+theta)-sin(50^(@)-theta)+(cos^(2)40^(0)+cos^(2)50^(@))/(sin^(2)40^(0)+sin^(2)50^(@))

Prove that : (2)/(3)cosec^2 58^@-(2)/(3) cot 58^@tan 32^@ -(5)/(3)tan 13^@tan 37^@tan 45^@tan 53^@tan 77^@=-1 .

Evaluate each of the following: (a) cos(40^0-theta)-sin(50^0+theta)+(cos^2 40^0+cos^2 50^0)/(sin^2 40^0+sin^2 50^0) (b) (cos70^0)/(sin20^0)+(cos55^0cos e c35^0)/(tan5^0tan25^0tan45^0tan65^0tan85^0) (c) 2((cos58^0)/(sin32^0))-sqrt(3)((cos38^0cos e c52^0)/(tan15^0tan60^0t a n75^0))

CBSE COMPLEMENTARY MATERIAL-INTRODUCTION TO TRIGONOMETRY-SHORT ANSWER TYPE QUESTIONS
  1. (tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)

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  2. Prove 1/(secx-tanx)-1/(cosx)=1/(cosx)-1/(secx+tanx)

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  3. (tantheta)/(1-cottheta)+(cottheta)/(1-tantheta)=1+tantheta+cottheta=se...

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  4. Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(...

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  5. secA(1-sinA)(secA+tanA)=1

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  6. If tantheta+sintheta=m and tantheta-sintheta=n, then prove that: m^(2)...

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  7. If sectheta=x+(1)/(4x),prove that sectheta+tantheta=2xor(1)/(2x)*

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  8. If sintheta+sin^2theta=1 , prove that cos^2theta+cos^4theta=1

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  9. Without using trigonometric table, the value of cotthetatan(90^(@)-t...

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  10. Prove that : (cot(90^(@)-theta))/(tantheta)+("cosec"(90^(@)-theta)sint...

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

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  12. If A, B, C are the angles of DeltaABC then prove that "cosec"^(2)((B+C...

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  13. Find the value of sec^(2)10^(@)-cot^(2)80^(@)+(sin15^(@)cos75^(@)+cos1...

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  14. Prove the following identities: (tantheta-cottheta)/(sinthetacostheta...

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  15. If sintheta+costheta=sqrt2costhetathen costheta-sintheta is equal to

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  16. Evaulate : 4-(sin30^(@)+tan45^(@)-"cosec"60^(@))/(sec30^(@)+cos60^(@)+...

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  17. Prove that : 1-(sinAsin(90^(@)-A))/(cot(90^(@)-A))=sin^(2)A

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  18. i) If acostheta+bsintheta=m and asintheta-bcostheta=n, then prove that...

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  19. If acostheta-bsintheta=c, then prove that: asintheta+bcostheta=+-sqr...

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

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