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

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)

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

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

sin(270^(@)-theta).sin(90^(@)-theta)-cos(270^(@)-theta).cos(90^(@)+theta)=

sin(90^circ+theta) is

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

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)

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec...

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

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

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  4. In a /\A B C , right angled at B , if A B=4 and B C=3 , find all t...

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  5. In a /\A B C , right angled at B , if A B=12 and B C=5 , find: (i) ...

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  6. If sinA=3/5 , find cosA and tanA .

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  7. If costheta=8/(17) , find the other five trigonometric ratios.

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  8. In a right triangle A B C right angled at B, if sinA=3/5 , find a...

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  9. If sinA=1/3, evaluate cosA\ cosec\ A+tanAsecA.

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  10. In a right triangle A B C , right angled at C , if tanA=1 , then...

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  11. If secalpha=5/4, evaluate (1-tanalpha)/(1+tanalpha).

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  12. If sintheta=1/2, show that (3costheta - 4cos^3theta)=0

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  13. If tanA=2 , evaluate secAsinA+tan^2A-cos e c\ A .

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  14. Given /\ A C B right angled at C in which A B=29\ u n i t s , B C=21...

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  15. If cotB=(12)/5 , prove that tan^2B-sin^2B=sin^4Bsec^2B .

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  16. If secalpha=5/4 , verify that (tanalpha)/(1+tan^2alpha)=(sinalpha)/...

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  17. If sintheta=4/5 , find the value of (4tantheta-5costheta)/(sectheta...

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  18. In a right triangle A B C right angled at B , /A C B=theta , A B...

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  19. From Fig. , write the values of: (i) sinA (ii) cotA

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  20. From Fig., write the values of: (i) tanB (ii) sin^2B+cos^2B

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