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Prove that: ("sin"(x+theta))/("sin"(x+ph...

Prove that: `("sin"(x+theta))/("sin"(x+phi))=cos(theta-phi)+cot(x+phi)sin(theta-phi)dot`

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RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
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  3. Prove that: ("sin"(x+theta))/("sin"(x+phi))=cos(theta-phi)+cot(x+phi)s...

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  5. If tanA-tanB=x a n dcotB-cotA=y , prove that cot(A-B)=1/x+1/y

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  7. If sinB=3sin(2A+B) ,prove :2tanA+tan(A+B)=0.

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  8. If 2tanbeta+cotbeta=tanalpha , prove that cotbeta=2tan(alpha-beta)dot

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  11. Prove that: sin^2(pi/8+A/2)-sin^2(pi/8-A/2)=1/sqrt(2)sinA

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  12. Prove that: sin^2A=cos^2(A-B)+cos^2B-2cos(A-B)cosAcosBdot

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  15. If alphaa n dbeta are the solutions of acostheta+bsintheta=c , then ...

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  16. If alpha a n d beta are the solutions of the equation at a ntheta+bs e...

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  17. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , show that (tanx)/(tany)=a/b .

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  20. If theta lies in the first quadrant and costheta=8/(17) , then prove t...

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