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If (sinA)/(sinB)=pa n d(cosA)/(cosB)=q ,...

If `(sinA)/(sinB)=pa n d(cosA)/(cosB)=q ,` find `tanAa n dtanBdot`

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To solve the problem, we start with the given equations: 1. \(\frac{\sin A}{\sin B} = P\) 2. \(\frac{\cos A}{\cos B} = Q\) We need to find \(\tan A\) and \(\tan B\). ### Step 1: Express \(\sin A\) and \(\cos A\) in terms of \(\sin B\) and \(\cos B\) ...
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. Find all other trigonometrical ratios if sintheta=-(2sqrt(6))/5 andth...

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  2. Find sintheta + t a nthetaifcostheta=-(12)/(13)a n d theta lies i...

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  3. If (sinA)/(sinB)=pa n d(cosA)/(cosB)=q , find tanAa n dtanBdot

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  4. If 10sin^4alpha+15cos^4alpha=6 , find the value of 27cos e c^6alpha+8s...

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  5. If a=s e ctheta-t a ntheta and b=cos e ctheta+cottheta , then show tha...

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  6. If cotx(1+sinx)=4m andcotx(1-sinx)=4n , prove that (m^2-n^2)^2=m n .

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  7. If Tn=sin^nx+cos^nx , prove that (i) 2T6-3T4+10=0

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  8. Prove that: sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sintheta)/(1-sint...

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  9. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

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  10. If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(...

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  11. If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2-)n^2=4sq...

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  12. Prove that: s e c^2theta+cos e c^2theta=cosec^2θ.sec^2θ .

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  13. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

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  14. Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta...

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  15. Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=...

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  16. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

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  17. Which of the following is correct? s in1^0> s in1 (b) s in1^0<s in1 ...

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  18. If f(x)=cos^2x+s e c^2x ,t h e n (a)f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1...

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  19. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a)x ,1/x (b) 2x ,...

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  20. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=...

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