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Composition of Trigonometric Functions and Inverse Trigonometric Functions

If cos(α + β...

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If cos(α + β )=0, then sin(α -β ) can be equal to (1) cos 2β (2) cos β (3) sin α (4) sin 2α

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2 s i n^{2} β + 4 c o s (α + β) s i n α s i n β + c o s 2 (α + β) =

α

β

π < α - β < 2 π

sin α + sin β = - \frac{21}{65}

cos α + cos β = \frac{17}{65}

, then the value of

cos \frac{α - β}{2}

α

β

are acute angles such that

c o s^{2} α + c o s^{2} β = 3 / 2

α

β

α + β

cos

(α + β) = 0

sin

(α - β)

can be reduced to:

α

β

are acute angles satisfying

cos 2 α = \frac{3 cos 2 β - 1}{3 - cos 2 β}

tan α =

.

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Composition of Trigonometric Functions and Inverse Trigonometric Functions

Standard XII Mathematics

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