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Composition of Trigonometric Functions and Inverse Trigonometric Functions

74. If sinα ...

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74. If sinα = A Sin(α +β ) . A is not equal to 0. Then tanβ = (1) sinα (1+Acosβ ) / Acosα cosβ (2)sinα (1-Acosβ ) / Acosα cosβ (3)cosα (1-Asinβ ) / Acosα cosβ (4)cosα (1+Asinβ ) / Acosα cosβ

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tan α = \frac{a sin β}{1 - a cos β}

tan β = \frac{b sin α}{1 - b cos α}

\frac{sin α}{sin β} = \frac{a}{b}

Q. If the points (a cosα, a sinα) and (a cosβ, a sinβ) are at a distance k

\sin (\frac{α - β}{2})

apart, then k = __________.

Q. Find the distances between the following pairs of points.

(a cos α, a sin α)

(a cos β, a sin β)

P

is the length of the perpendicular from the origin upon the straight line joining the two points whose coordinates are

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P = a cos (\frac{α - β}{λ}),

λ = ?

sin α = \frac{1}{2}

cos β = \frac{1}{2}

(α + β) = . . . . . . . . . .

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Composition of Trigonometric Functions and Inverse Trigonometric Functions

Standard XII Mathematics

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