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Evaluate each of the following: (a) c...

Evaluate each of the following: (a) `cos(40^0-theta)-sin(50^0+theta)+(cos^2 40^0+cos^2 50^0)/(sin^2 40^0+sin^2 50^0) ` (b) `(cos70^0)/(sin20^0)+(cos55^0cos e c35^0)/(tan5^0tan25^0tan45^0tan65^0tan85^0) ` (c) `2((cos58^0)/(sin32^0))-sqrt(3)((cos38^0cos e c52^0)/(tan15^0tan60^0t a n75^0))`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate each of the following: cos(40^0-theta)-sin(50^0+theta)+(cos^2...

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  2. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

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

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  4. Evaluate : 4(sin^4 30^0+cos^4 60^0)-2/3(sin^2 60^0-cos^2 45^0)+1/2tan...

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  5. Evaluate : (sin50^0)/(cos40^0)+(cos e c40^0)/(sec50^0)-4cos50^0cos e ...

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  6. Evaluate : tan35^0tan40^0tan45^0tan50^0tan55^0

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  7. Evaluate : cos e c(65^0+theta)-sec(25^0-theta)-tan(55^0-theta)+cot(...

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  8. Evaluate : tan7^0tan23^0tan60^0tan67^0tan83^0

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  9. Evaluate : (2sin68^0)/(cos22^0)-(2cot15^0)/(5tan75^0)-(3tan45^0tan20^...

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  10. Evaluate : ((3cos55^0) / (7sin35^0))-(4/7)(cos70^0cos e c20^0)/(tan5^0...

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

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

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

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

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

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

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

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

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

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

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