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Prove the following: sinthetasin(90^0-th...

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

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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)

Prove that : (sinthetacos(90^0-theta)costheta)/(sin(90^0-theta))+(costhetasin(90^0-theta)sintheta)/(cos(90^0-theta))=1

Find x from the following equation: cos e c(90^0+theta)+x costhetacot(90^0+theta)=sin(90^0+theta)

Prove the following identities: (i) costhetasin(90^o-theta)+sinthetacos(90^o-theta)=1 (ii) (sin(90^o-theta))sintheta/(tantheta)-1=-sin^2theta (iii) (sin(90^o-theta)cos(90^o-theta))/(tantheta)=1-sin^2theta

Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec(90^0-theta)sin(90^0-theta)cot(90^0-theta))+(tan(90^0-theta))/(cottheta)=2

Evaluate sinthetacos(90^(@)-theta)+costhetasin(90^(@)-theta) .

sin(90^circ+theta) is

Prove that: (t a n(90^0-theta)s e c(180^0-theta)sin(-theta))/(sin(180^0+theta)cot(360^0-theta)cosec(90^0-theta))=1

Prove that : tantheta+tan(90^(@)-theta)=sectheta*sec(90^(@)-theta)

Prove the following: (tan(90^0-A)cotA)/(cos e c^2A)-cos^2A=0

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. The value of (cos(90^0-theta)sec(90^0-theta)tantheta)/(cos e c(90^0-t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Find the value of theta in each of the following: (i)2sin2theta=sqrt...

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  18. An equilateral triangle is inscribed in a circle of radius 6cm. Find ...

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  19. If tanA=1 and tanB=sqrt(3),e v a l u a t ecosAcosB-sinAsinBdot

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  20. Evaluate each of the following: cos(40^0-theta)-sin(50^0+theta)+(cos^2...

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