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Find the value of `x` in each of the following: `tanx=sin45°cos45°+sin30°` (ii) `sqrt(3)tan2x=cos60°+sin45°cos45°` (iii) `cos2x=cos60°cos30°+sin60°sin30°`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@...

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

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  3. Find the value of x in each of the following: tanx=sin45°cos45°+si...

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

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

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

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  7. If A=30^@ and B=60^@ , verify that (i) sin(A+B)=sinAcosB+cosAsinB (...

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

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

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

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

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  12. If sin(A+B)=1 and cos(A-B)=1, 0^@ < A+Blt=90^@ , AgeqB find A and B .

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

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

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

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

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  17. In /\P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine ...

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  18. Evaluate the following: (i) (cos80^o)/(sin10^o)+cos59^o\ cos e c\ 31...

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  19. Evaluate the following: (i) sec50^osin40^o + cos40^o\ cos e c\ 50^o ...

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  20. Prove that: (i) sin35 sin55-cos35 cos55=0 (ii) (cos70)/(sin20)+(co...

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