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Prove the following: (tan(90^0-A)cotA...

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

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Prove the following identities: tan^2A-tan^2B=(cos^2B-cos^2A)/(cos^2Bcos^2A)=(sin^2A-sin^2B)/(cos^2Acos^2B) (sinA-sinB)/(cosA+cosB)+(cosA-cosB)/(sinA+sinB)=0

In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+(cos^2C-cos^2A)/(c+a)+(cos^2A-cos^2B)/(a+b)=0

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)

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Prove the following identities: (tantheta-cottheta)/(sinthetacostheta)=sec^2theta-cos e c^2theta=tan^2theta-cot^2theta

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate : ((3cos55^0) / (7sin35^0))-(4/7)(cos70^0cos e c20^0)/(tan5^0...

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  2. Prove the following: (cos(90^0-theta)sec(90^0-theta)t a ntheta)/(cosec...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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