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Evaluate the following expressions: 4...

Evaluate the following expressions: `4cot^2 45o-sec^2 60o+sin^2 60o+cos^2 90o` . (ii) `3cos^2 30o+sec^2 30o+2cos0+3sin90o-tan^2 60o`

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Evaluate the following expressions: 2sin^2 30otan60o-3cos^2 60osec^2 30o (ii) "c o s e c"^2 30osin^2 45o-sec^2 60o (iii) tan60ocos e c^2 45o+sec^2 60otan45o

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

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: (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)900)-sin^(2)600

Evaluate the following: 4(sin^(4)60o+cos^(4)300)-3(tan^(2)60o-tan^(2)45o)+5cos^(2)450 (ii) (cos ec^(2)45o sec^(2)30o)(sin^(2)30o+4cot^(2)45o-sec^(2)60o)

Evaluate the following: (i) cos600cos45o-sin60sin45o( ii) sin^(2)30o+sin^(2)45o+sin^(2)60o+sin^(2)90o

Evaluate the following: (i) cos e c 31o-sec59o (ii) (sin72o+cos18o)(sin72o-cos18o)

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

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

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate each of the following in the simplest form: sin60ocos30o+c...

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  2. Evaluate the following expressions: 2sin^2 30otan60o-3cos^2 60osec^...

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  3. Evaluate the following expressions: 4cot^2 45o-sec^2 60o+sin^2 60o+...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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