Frequent Trigonometric Functions Questions

If Tan A/2 = (Tan B/2)3 and Tan B = 2 Tan C then find (A + B)\C. ...

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if α,β are two different values of θ lying between 0 and 2Πwhich satisfy the equation 6 cos θ + 8 sin θ = 9,then find the value of sin(α + β). ...

If sin α + sin β = a and cos α + cos β = b,then prove that sin(α + β) = (2ab/a2 + b2) ...

If angle θ is divided into two parts such that the tangent of one part is λ times the tangent of the other, and α is their difference,show that sinθ = (λ+1/λ-1)sinα ...

Can anyone tell me where I can download the solutions to R.D. Sharma in pdf format? Thanks in advance. Please post the complete link. ...

Proof that (tan5A+tan3A)/(tan5A-tan3A)=4cos4Acos2A ...

If cosθ=ncos(θ+2α)then show that (n+1)tan(θ+α)=(n-1)cotα ...

Prove that : CotA + Cot(60+a) - Cot(60 -a) = 3Cot3A ...

Prove that: TanA + Tan(60+a) - Tan(60 -a) = 3Tan3A ...

the positive values of a for which the equation [x+a]=sin(Ï€x/2) will have no solution is,where [.] denotes greatest integer function- a) (0,1); b)(1,2);c) (0,2);d) NOT. ...

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If cos(α-β)+cos(β-γ)+cos(γ-α)= -3/2 , then p.t. → cosα +cosβ +cosγ =sinα +sinβ +sinγ =0 . ...

If tan(inverse)(x+2/x)-tan(inverse)4/x-tan(inverse)(x-2/x)=0 then x=............ y=........... (M.L.Khanna Page 464 Problem No.37a) ...

Write the following function in the simplest form :- tan_1√ 1-x/1+x ...

Prove that tan 8θ -tan 6θ- tan 2θ = tan 8θ tan 6θtan 2θ ...

Prove that sin2θ=(x+y)2/4xy possible for real values of x and y only when x is equal to y. x not equal to 0. ...

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If tan2θ = 1-k2,s.t. sec2θ+tan3θ cosecθ = (2-k2)3/2 ...

A+B+C= Î /2 p.t. +cos2A+cos2B+cos2C=2(1+sinAsinBsinC) ...

cosec θ = cot θ + √3 ...