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If A=30o and B=60o , verify that sin(...

If `A=30o` and `B=60o` , verify that `sin(A+B)=sinAcosB+cosAsinB` (ii) `cos(A+B)=cosAcosB-sinAsinB`

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If A=60^(@) and B=30^(@) , verify that : (i)sin(A+B)=sinAcosB+cosAsinB (ii) cos(A+B)=cosAcosB-sinAsinB

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RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. If theta=30^@ , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

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

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

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

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

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

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

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

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

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

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

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

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  14. Evaluate the following: (i) (cos80o)/(sin10o)+cos59o\ cos e c\ 31o ...

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

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

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

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

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

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

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