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RD SHARMA-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Solved Examples And Exercises
- If A+B=pi/4 , prove that: (1+t a n A)(1+t a n B)=2 (cotA-1)(cot...
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- Prove that: cotthetacot2theta+cot2thetacot3theta+2=cottheta(cottheta-c...
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- If tan(alpha+theta)=ntan(alpha-theta) , show that (n+1)sin2theta=(n-1...
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- Prove that: (sin(B-C))/(cosBcosC)+(sin(C-A))/(cosCcosA)+(sin(A-B))/(co...
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- If tan( pi cos theta) = cot ( pi sin theta) then sin (theta + pi/4) e...
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- Find the values of the following: (i)sin75^@ (ii) cos75^@ (iii) sin1...
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- If cotalpha=1/2,secbeta=-5/3,where piltalphalt(3pi)/2and pi/2 ltbetalt...
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- If sin A=3/5 ,0 < A < pi/2 and cosB=(-12)/(13),0 < B < (3pi)/2, find t...
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- Prove that: (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27 x)=(1/2)(ta...
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- Prove that: 1/(cos(x-a)cos(x-b))=(tan(x-b)-"tan"(x-a))/(sin(a-b))
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- If sin(picostheta)=cos(pi sintheta),t h e n sin2theta=
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- If at a nalpha+bt a nbeta=(a+b)tan((alpha+beta)/2) , where alpha!=beta...
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- Prove that: 1/(sin(x-a)sin(x-b))=(cot(x-a)-"cot"(x-b))/(sin(a-b))
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- If tantheta=1/2a n dt a nvarphi=1/3, then the value of theta+varphi ...
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- If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) then show that si...
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- Prove that: 1/(sin(x-a)cos(x-b))=(cot(x-a)+"tan"(x-b))/(cos(a-b))
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- Find the maximum and minimum values of the following expressions. (i)...
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- If sinA=3/5 and cosB=9/41, 0 < A < pi/2 and 0 < B < pi/2 then find the...
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- If cos A=4/(5), cosB=12/13 and (3pi)/2 < A, B < 2pi then find the valu...
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- Find the values of the following: t a n 15^0 ii. t a n 75^0
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