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If A + B is 90^@, then ( tan A. tan B +...

If A + B is `90^@`, then ` ( tan A. tan B + tan A. cot B)/ (Sin A. Sec B) - sin^2 B/ cos^2 A` is equal to:

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (i) sin39^0-cos51^0 (ii) cos e c25^0-sec65^0 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. In Figure, A D=D B \ and \ /B is a right angle. Determine. (a)\ sin th...

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  18. Find the value of x in each of the following: (i)tan3x=sin45^0cos45^...

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  19. If theta is an acute angle and tantheta+cottheta=2, find the value o...

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  20. Prove that: (cos30^0+sin60^0)/(1+cos60^0+sin30^0)=(sqrt(3))/2

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