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Evaluate each of the following in the...

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

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

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  2. State whether the following are true or false. Justify your answer. ...

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  3. Evaluate each of the following in the simplest form: sin60ocos30o+c...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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