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Prove that: tan75^0+cot75^0=4...

Prove that: `tan75^0+cot75^0=4`

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Show that tan 75^0 + cot 75^0 = 4

Prove that : tan 225^@ cot 405^@+ tan 765^@ cot 675^@=0

Prove that: t a n 225^0cot 405^0+t a n 765^0cot 675^0=\ 0

Prove that (tan75^(@))/(cot15^(@))=1

Prove that: tan(-225^0)cot(-405^0)-tan(-765^0)cot(675^0)=0

Prove that: tan10^0tan15^0tan75^0tan80^0=1 tan1^0tan2^0tan3^0.....tan89^0=1 cos1^0cos2^0cos3^0.......cos180^0=0

Prove that tan225^(@)cot405^(@)+tan765^(@)cot675^(@)=0

Prove that : tan 20^0 tan 40^0 tan 60^0 tan 80^0 =3

Show that tan 75^(@) = (sqrt3) +(1 )/( sqrt3 -1) = 2 + sqrt3. Hence deduce that tan 75^(@) - cot 75^(@) = 4 sin 60^(@).

Prove that: tan20^0tan40^0tan80^0=tan60^0

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
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  2. If 3t a n At a n B=1, prove that 2cos(A+B)=cos(A-B)dot

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  3. Prove that: tan75^0+cot75^0=4

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

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

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  8. If t a n x+tan(x+pi/3)+tan(x+(2pi)/3)=3, then prove that (3tanx-t a n^...

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

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  10. If tan(A-B)=1,sec(A+B)=2/(sqrt(3)) , then the smallest positive value ...

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  11. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

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  12. 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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  13. Prove that: cotthetacot2theta+cot2thetacot3theta+2=cottheta(cottheta-c...

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  14. If tan(alpha+theta)=ntan(alpha-theta) , show that (n+1)sin2theta=(n-1...

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  17. Find the values of the following: sin75^0 (ii) cos75^0 (iii) sin15^0...

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  18. If cotalpha=1/2,secbeta=-5/3,where piltalphalt(3pi)/2and pi/2 ltbetalt...

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  19. If sin A=3/5,0<A<pi/2a n dcosB=(-12)/(13),0<B<(3pi)/2, find the follow...

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