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If tanA=sqrt(2)-1 show that sinAcosA=(sq...

If `tanA=sqrt(2)-1` show that `sinAcosA=(sqrt(2))/4`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If sintheta=(a^2-b^2)/(a^2+b^2) , find the values of other five trigo...

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  2. If cos e cA=sqrt(10), find other five trigonometric ratios.

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  3. If tanA=sqrt(2)-1 show that sinAcosA=(sqrt(2))/4

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  4. If cos e cA=2, find the value of 1/(tanA)+(sinA)/(1+cosA)

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  5. Evaluate the following: (i) sin39^0-cos51^0 (ii) cos e c25^0-sec65^0 ...

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  6. The value of (tan55^0)/(cot35^0)+cot1^0cot2^0cot3^0cot90^0,i s -2 (b)...

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  7. If A + B is 90^@, then ( tan A. tan B + tan A. cot B)/ (Sin A. Sec B)...

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  8. If (xcos e c^2 30^0sec^2 45^0)/(8cos^2 45^0sin^2 60^0)=tan^2 60^0-tan^...

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  9. The value of (cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-t...

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  10. If tan2A=cot(A-18^0), where 2A is an acute angle, find the value of A.

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  11. Prove the following: sinthetasin(90^0-theta)-costhetacos(90^0-theta)=0

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

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  13. If sin(A+B)=1 and cos(A-B)=(sqrt(3))/2, then find A and B dot

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  14. Evaluate each of the following: cot 12^circcot 38^circcot52^circcot60^...

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  15. Prove that: tan10^0tan15^0tan75^0tan80^0=1 tan1^0tan2^0tan3^0.....tan...

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  16. If A+B=90^0, prove that sqrt((tanAtanB+tanAcotB)/(sinAsecB)-(sin^2B)/(...

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  17. If sin5theta=cos4theta, whre 5thetaa n d4theta are acute angles, find ...

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  18. If tantheta+1/(tantheta)=2 , find the value of tan^2theta+1/(tan^2thet...

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  19. Evaluate each of the following in the simplest form: 1).cosec30^0+cot...

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  20. In a right triangle ABC , right angled at B , the ratio of A BtoA C is...

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