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Show that: 2(cos^2 45°+tan^2 60°)-6(s...

Show that: `2(cos^2 45°+tan^2 60°)-6(sin^2 45°-tan^2 30°)=6` (ii) `2(cos^4 60°+sin^4 30°)-(tan^2 60°+cot^2 45°)+3sec^2 30°=1/4`

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

Verify that: sin60o=(2tan30o)/(1+tan^2 30o)=(sqrt(3))/2 (ii) cos60o=(1-tan^2 30o)/(1+tan^2 30o)=1/2

Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)

Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60^osec^2 30^o (ii) "c o s e c"^2 30^osin^2 45^o-sec^2 60^o (iii) tan60^ocos e c^2 45^o + sec^2 60^otan45^o

Evaluate the following: (i) 2sin^2 30o-3cos^2 45o+tan^2 60o (ii) sin^2 30ocos^2 45o+4tan^2 30o+1/2sin^2 90o-2cos^2 90o+1/(24)cos^2 0o .

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

(2tan30^@)/(1-tan^2 30^@) is equal to (a) cos60^@ (b) sin60^@ (c) tan60^@ (d) sin30^@

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^...

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  2. Evaluate each of the following: (sin60^o)/(cos^2 45^o)-cot30^o + 15c...

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

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  4. Solve each of the following equations when 0^0 < theta<90^0 ...

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  5. Solve each of the following equations when 0 < theta<90 (i) 2sin^2t...

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  6. Find the value of theta in each of the following: (i)2sin2theta=sqrt(3...

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

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

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

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

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

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

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  13. In a rectangle A B C D ,\ \ A B=20 c m , /B A C=60^@ . Calculate s...

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

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

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

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

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

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

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  20. Evaluate the following: (cos0o+sin45o+sin30o)(sin90o-cos45o+cos60o)...

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