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

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

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Evaluate the following: 4(sin^4 60o+cos^4 30o)-3(tan^2 60o-tan^2 45o)+5cos^2 45o (ii) (cos e c^2 45osec^2 30o)(sin^2 30o+4cot^2 45o-sec^2 60o)

Evaluate : (tan45^(@))/(2sin30^(@)-cos60^(@))

Evaluate (2tan45^@ xx cos 60^@)/sin30^@

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))

Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o (ii) 4(sin^4 30o+cos^2 60o)-3(cos^2 45o-sin^2 90o)-sin^2 60o

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

Evaluate : [{:(,4 sin 30^@ 2 cos 60^@), (,sin 90^@ 2 cos 0^@):}] [{:(,4,5),(,5,4):}]

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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