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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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Prove the following: sin theta sin(90^(@)-theta)-cos theta cos(90^(@)-theta)=0

sin theta cos(90^(@)-theta)+cos theta sin(90^(@)-theta)

sin theta cos(90^@ -theta) +cos theta sin(90^@ -theta) = ?

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 :(sin theta cos(90^(0)-theta)cos theta)/(sin(90^(0)-theta))+(cos theta sin(90^(0)-theta)sin theta)/(cos(90^(@)-theta))=1csc^(2)(90^(@)-theta)-tan^(2)theta=cos^(2)(90^(@)-theta)+cos^(2)theta

Find x from the following equation: cos ec(90^(0)+theta)+x cos theta cot(90^(0)+theta)=sin(90^(@)+D)=0

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

Without using trigonometrical tables; prove (sin theta)/(sin(90-theta))+(cos theta)/(cos(90^(@)-theta))=sec theta*cosec theta

Find the value of costhetacos(90^(@)-theta)-sinthetasin(90^(@)-theta)

Prove the following: (cos(90^(@)-theta)sec(90^(@)-theta)tan theta)/(cos ec(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta)=2

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

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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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