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Evaluate each of the following: `(sin60o)/(cos^2 45o)-cot30o+15cos90o\ ` (ii) `(5sin^2 30o+cos^2 45o-4tan^2 30o)/(2sin30ocos30o+tan45o)`

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Evaluate each of the following: (sin^2 45o+cos^2 45o)/(tan^2 60o) (ii) (sin30o-sin90o+2cos0o)/(tan30otan60o)

Evaluate the following: (i) 2sin^(2)30o-3cos^(2)45o+tan^(2)60o( ii) sin^(2)30o cos^(2)45o+4tan^(2)30o+(1)/(2)sin^(2)90o-2cos^(2)90o+(1)/(24)cos^(2)00

(5sin^(2)30^(@)+cos^(2)45^(@)-4tan^(2)30^(@))/(2sin30^(@).cos30^(@)+tan45^(@))=?

Evaluate the following: (tan^(2)60o+4cos^(2)45o+3sec^(2)30o+5cos^(2)90o)/(cos ec30o+sec60o-cot^(2)30o)(sin30o)/(sin45o)+(tan45o)/(sec60o)-(sin60o)/(cot45o)-(cos30o)/(sin900)

Evaluate the following: cos^(2)30o+cos^(2)45o+cos^(2)60o+cos^(2)90o(ii)tan^(2)30o+tan^(2)60o+tan^(2)45o

Evaluate each of the following in the simplest form: sin60ocos30o+cos60osin30o (ii) sin60ocos45o+cos60osin45o (iii) cos60ocos30o+sin60osin30o (iv) cos60ocos30o-sin60osin30o

Evaluate the following: (i) sin450sin30o+cos450cos30o (ii) sin60o cos30o+cos600sin30o

Evaluate each of the following : (4)/(cot^(2)30)+(1)/(sin^(2)30^(@))-2cos^(2)45^(@)-sin^(2)30^(@)

Evaluate the following: (tan45o)/(cos ec30o)+(sec60o)/(cot45o)-(5sin90o)/(2cos00)

1Evaluate : (5sin^(2)30^(@)+cos^(2)45^(0)-tan^(2)30^(@))/(2sin30^(0)xxcos30^(@)+tan45^(@))

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following expressions: 4cot^2 45o-sec^2 60o+sin^2 60o+...

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  2. Evaluate each of the following: (sin^2 45o+cos^2 45o)/(tan^2 60o) (...

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  3. Evaluate each of the following: (sin60o)/(cos^2 45o)-cot30o+15cos90...

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  4. Show that: 2(cos^2 45o+tan^2 60o)-6(sin^2 45o-tan^2 30o)=6 (ii) 2...

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  5. Solve each of the following equations when 0o<theta<90o . 2costheta...

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  6. Solve each of the following equations when 0o<theta<90o . 2sin^2the...

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  7. Find the value of theta in each of the following: (i)2sin2theta=sqrt...

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  8. If A=30^@ verify that cos3A=4cos^3A-3cosA

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  9. If x=30^@ , verify that : (i) tan2x=(2tanx)/(1-tan^2x) (ii) sinx=sqr...

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  10. Verify that: sin60o=(2tan30o)/(1+tan^2 30o)=(sqrt(3))/2 (ii) cos60...

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  11. Verify that: (i) cos60^@=cos^2 30^@-sin^2 30^@=1/2 (ii) 4(sin^4 30^...

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  12. If theta is an acute angle and sintheta=costheta , find the valu...

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  13. Given that sin(A+B)=sinAcosB+cosAsinB , find the value of sin75^@ .

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  14. In a rectangle A B C D ,\ \ A B=20 c m , /B A C=60o . Calculate ...

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  15. Evaluate the following: (i) sin45osin30o+cos45ocos30o (ii) sin60oc...

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  16. Evaluate the following: (i) cos60ocos45o-sin60osin45o (ii) sin^2 3...

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  17. Evaluate the following: cos^2 30o+cos^2 45o+cos^2 60o+cos^2 90o (...

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  18. Evaluate the following: (i) 2sin^2 30o-3cos^2 45o+tan^2 60o (ii) s...

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  19. Evaluate the following: 4(sin^4 60o+cos^4 30o)-3(tan^2 60o-tan^2 4...

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  20. Evaluate the following: cos e c^3 30ocos60otan^3 45osin^2 90osec^2 ...

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