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If sin(A-B) = 1/2 and cos(A+B) = 1/2, 0^...

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

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If sin(A+B)=1 and cos(A-B)=1, 0^@ < A+Blt=90^@ , AgeqB find A and B .

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

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

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

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

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

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

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

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  10. Express each of the following in terms of trigonometric ratios of an...

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  11. Express each of the following in terms of trigonometric ratios of an...

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  12. Evaluate the following: (i) ((sin35)/(cos55))^2+((cos55)/(sin35))^2-...

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  13. Evaluate: ((sin47^@)/(cos43^@))^2+((cos43^@)/(sin47^@))^2-4cos^2 45^@

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  14. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

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  15. Find theta; if sin(theta + 36^@) = cos theta; where theta + 36^@ is a...

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  16. If tan2theta=cot(theta+6^@) , where 2theta and theta+6^@ are acute a...

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  17. If t a n A=cot B , prove that A+B=90^@

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  18. If sec5A=cos e c\ (A+36^@) , where 5A is an acute angle, find the va...

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  19. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

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  20. Evaluate the following: (i) (sin20^@)/(cos70^@) (ii) (cos19^@)/(sin71^...

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