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Evaluate the following expressions: (i...

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`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. State whether the following are true or false. Justify your answer. ...

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  2. Evaluate each of the following in the simplest form: sin60ocos30o+co...

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  3. Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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