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

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

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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

The numerical value of ( cos^2 45^@ ) /( sin ^2 60 ^@) +( cos ^2 60^@ )/( sin ^2 45 ^@ ) -(tan ^2 30 ^@ )/( cot^2 45^@ ) -( sin^2 30 ^@ )/( cot^2 30^@) is

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

(2tan30o)/(1-tan^2 30o) is equal to cos60o (b) sin60o (c) tan60o (d) sin30o

Evaluate : sin^2 60^@+ 2tan 45^@-cos^2 30^@

Verify that: ( i ) cos60o=cos^(2)30o-sin^(2)30o=(1)/(2) (ii) 4(sin^(4)30o+cos^(4)30o)-3(cos^(2)45o-sin^(2)90o)=2

(2tan30o)/(1+tan^2 30o) is equal to sin60o (b) cos60o (c) tan60o (d) sin30o

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

The value of (5cos^2 60^@+4sec^2 30^@-tan^2 45^@)/(tan^2 60^@- sin^2 30^@-cos^2 45^@) is: (5cos^2 60^@+4sec^2 30^@-tan^2 45^@)/(tan^2 60^@- sin^2 30^@-cos^2 45^@) का मान क्या होगा ?

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

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

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

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

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

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

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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 (ii) 4(sin^4 30^...

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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=60o . Calculate ...

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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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