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find `tan 75^@`

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Using the identity tan A =(sin 2A)/(1+cos2A) find the value of tan 15^(@) and tan 75^(@) and hence solve that the equation sec^(2) theta= 4 tan theta .

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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
  1. Prove that : (tan theta+cot theta)^2=sec^2 theta+cosec^2 theta=sec^2 t...

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  2. Find the general value of theta satisfying both sin theta=(-1/2) and t...

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  3. find tan 75^@

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  4. Find the value of tan 13 pi/12

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  5. Prove that 70^@=tan 20^@+2 tan 50^@

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  6. if A+B=45^@ find the value of (1+tan A)(1+ tan B)

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  7. If 0lt betalt alpha lt(pi/4),cos(alpha+beta)=3/5 and cos(alpha-beta)=4...

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  8. If 2 sin alpha cos beta sin gamma =sin beta sin (alpha +gamma) then pr...

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  9. if cos(x-y)cosx and cos(x+y) are in H.P then evaluate abs (cos x.secy/...

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  10. Prove that tan A+2 tn A+4 tan A+8cot 8A=cot A

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  11. Evaluate : cos12^@cos24^@cos36^@cos48^@cos72^@cos84^@

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  12. If alpha,beta,gamma are in A.P. show that cot beta=(sin alpha-sin gamm...

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  13. prove sin alpha+sin(alpha+(2pi)/3)+sin (alpha+(4pi)/3)=0

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  14. Prove that (cos 7x+cos 5x)/(sin7x-sin 5x)=cotx

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  15. if tan( (pi)/9),x, tan ((5pi)/18) are in A.P. and tan(pi/9), y,tan ((7...

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  16. find the value of k which satisfy tan theta +tan(theta+pi/3)+tan (thet...

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  17. sin^3x.sin3x=underset(mrarr0)(oversetnsumCmcosmx is an identity in x,w...

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  18. Find sin( (pi)/n)+sin ((3pi)/n)+sin ((5pi)/n)+……..to n terms

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  19. Find theta if sin theta -cos theta lt0

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  20. Find A/2 if 2sin (A/2)=sqrt(1+sin A)+sqrt(1-sin A)

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