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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^@ < A+B < 90^@` and A>B, then find A and B.

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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. If sin(A+B)=1 and cos(A-B)=1,\ \ 0o<A+Blt=90o , 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^@ < A+B < 90^@ 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) (cos80o)/(sin10o)+cos59o\ cos e c\ 31o ...

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  8. Evaluate the following: (i) sec50osin40o+cos40o\ cos e c\ 50o (ii)...

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  9. Prove that: (i) sin35osin55o-cos35ocos55o=0 (ii) (cos70o)/(sin20o)...

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

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

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  12. Evaluate the following: (i) ((sin35o)/(cos55o))^2+((cos55o)/(sin35o...

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  13. Evaluate: ((sin47o)/(cos43o))^2+((cos43o)/(sin47o))^2-4cos^2 45o

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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. Dind theta; if sin(theta + 36^@) = cos theta; where theta + 36 is an ...

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  16. If tan2theta=cot(theta+6o) , where 2theta and theta+6o are acute an...

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  17. If t a n A"\ "="\ "cot B , prove that A+B=90o

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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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