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Trigonometric Ratio(sin,cos,tan)

11. If sec th...

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11. If sec theta cos alpha=root 2 and tan theta cot alpha=root 3, then find the values of tan theta and tan alpha that satisfy the equations.

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3 tan θ tan α = 1

, then find the value of

\frac{cos (θ - α)}{cos (θ + α)} =

α

β

be two distinct roots of the equation

a tan θ + b sec θ = c

tan (α + β) = (2 a c) / (a^{2} - c^{2})

α, β

are acute angles such that

(α + β)

(α - β)

satisfy the equation

{tan}^{2} θ - 4 tan θ + 1 = 0,

tan θ + cot α, sin θ, cos α

sin (θ + α) = cos (θ + α)

tan θ

α

.
(ii) Find the value of

tan (π / 4 + θ) . tan (π / 4 - θ)

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