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If cos A+sin B=m and sin A+cos B=n , pr...

If `cos A+sin B=m` and `sin A+cos B=n ,` prove that `2sin(A+B)=m^2+n^2-2.`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If tan A= xtanB then prove that sin(A-B)/sin(A+B)=(x-1)/(x+1)

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  2. If tan(A+B)=x and tan(A-B)=y then find the values of tan2A and tan2B

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  3. If cos A+sin B=m and sin A+cos B=n , prove that 2sin(A+B)=m^2+n^2-2.

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  4. If tan A+tan B=a and cot A+cot B=b , prove that: cot(A+B)=1/a-1/b

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  5. If sin(alpha+beta)=1 and sin(alpha-beta)=1/2, where 0lt=alpha, betalt=...

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  6. If alpha, beta are two different values of x lying between 0 and 2pi ...

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  7. Prove that (tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)...

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  8. If sin alpha sin beta-cosalphacosbeta+1=0, then prove that 1+cotalphat...

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  11. Prove that 5costheta+3cos(theta+pi/3)+3 lies between -4a n d10.

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  12. Reduce sqrt(3)sintheta+costheta as a single term consisting sine only

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  13. Express: 3costheta-4sintheta\ as c o s i n e of a single expression...

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  14. Find the maximum and minimum values of each of the following trigono...

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  15. Find the maximum and minimum values of each of the following trigon...

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  16. Find the maximum and minimum values of each of the following trigono...

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  17. Find the maximum and minimum values of the trigonometrical expressi...

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  18. Reduce the expression to the sine or cosine of a single expression:...

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  19. Reduce the expression to the sine and cosine of a single expression:...

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