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Evaluate the following: (i) 4/(cot^2 ...

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`

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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: cos e c^3 30ocos60otan^3 45osin^2 90osec^2 ...

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

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  3. Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o ...

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  4. Evaluate the following: (tan^2 60o+4cos^2 45o+3sec^2 30o+5cos^2 90o...

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  5. Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@...

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  6. Find the value of x in each of the following: (i) 2sin3x=sqrt(3) (...

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  7. Find the value of x in each of the following: tanx=sin45ocos45o+...

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  8. If theta=30^@ , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

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  9. If theta=30^@ , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

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  10. If A=B=60^@ , verify that (i) cos(A-B)=cosAcosB+sinAsinB (ii) sin(A...

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  11. If A=30o and B=60o , verify that sin(A+B)=sinAcosB+cosAsinB (ii) c...

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  12. Using the formula of sin(A-B)=sinAcosB-cosAsinB find the value of sin1...

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  13. In a right triangle A B C , right angled at C , if /B=60o and A ...

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  14. If /\A B C is a right triangle such that /C=90^@ , /A=45^@ and B C=7...

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

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  16. If sin(A+B)=1 and cos(A-B)=1,\ \ 0o<A+Blt=90o , AgeqB find A and B .

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  17. If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqrt(3) , 0^@ < A+B lt= 90^@, A >...

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  18. If sin(A-B) = 1/2 and cos(A+B) = 1/2, 0^@ < A+B < 90^@ and A>B, then f...

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  19. In a /\A B C right angled at B , /A=/C . Find the values of (i) si...

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  20. If A and B are acute angles such that tanA=1/2 , tanB=1/3 and tan(A...

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