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Find the value of sin60^(@)cos30^(@)+cos...

Find the value of `sin60^(@)cos30^(@)+cos60^(@)sin30^(@)`.

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RS AGGARWAL-T-RATIOS OF SOME PARTICULAR ANGLES-Exercise 11
  1. Find the value of sin60^(@)cos30^(@)+cos60^(@)sin30^(@).

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  2. Evaluate each of the following : cos60^(@)cos30^(@)-sin60^(@)sin30^(...

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  3. Evaluate cos45^(@)cos30^(@)+sin45^(@)sin30^(@).

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  4. (sin30^(@))/(cos45^(@))+(cot45^(@))/(sec60^(@))-(sin60^(@))/(tan45^(@)...

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  5. (5cos^2 6 0^(@)+4sec^2 3 0^(@)-tan^2 4 5^(@))/(sin^2 3 0^(@)+cos^2 3 0...

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  6. Evaluate each of the following : 2cos^(2)60^(@)+3sin^(2)45^(@)-3sin^...

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  7. cot^(2)30^@-2cos^(2)30^@-(3)/(4)sec^(2)45^@+(1)/(4)csc^(2)30^@

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  8. Evaluate each of the following : (sin^(2)+30^(@)+4cot^(2)45^(@)-sec^...

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  9. Evaluate each of the following : (4)/(cot^(2)30)+(1)/(sin^(2)30^(@))...

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  10. Show that : (i) (1-sin60^(@))/(cos60^(@))=(tan60^(@)-1)/(tan60^(@)+1...

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  11. Verify each of the following : (i) sin60^(@)cos30^(@)-cos60^(@)sin30...

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  12. If A=45^(@), verify that (i) sin2A=2sinAcosA (ii) cos2A=2cos^(2)A-1=...

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  13. If A=30^(@), verify that (i) sin2A=(2tanA)/(1+tan^(2)A) (ii) cos2A=(...

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  14. If A=60^(@) and B=30^(@), verify that : (i)sin(A+B)=sinAcosB+cosAsin...

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  15. If A=60^(@) and B=30^(@), verify that : (i)sin(A-B)=sinAcosB-cosAsin...

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  16. If A and B are acute angles such that tanA=(1)/(3), tanB=(1)/(2) and t...

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  17. Using the formula, tan 2A = (2tanA)/(1-tan^2A), find the value of tan...

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  18. Using the formula cos A =sqrt((1+cos2A)/(2)), find the value of cos30^...

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  19. Using the formula, sinA=sqrt((1-cos2A)/(2)), find the value of sin30^(...

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  20. In the adjoining figure, DeltaABC is a right-angled triangle in which ...

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