If \cos \alpha+\cos \beta=a and \sin \alpha+ \sin \beta=b, then match the items given in List -A with those of their values in List - B List-A List-b (I) \tan (\frac{\alpha+\beta}{2}) = (a) { {\b}}/{ {\a}} (II) \cos (\alpha+\beta)= (b) \frac{2 a b}{a^2+b^2} (III) \sin (\alpha+\beta)= (c) \frac{2 a b}{a^2-b^2} (IV) \tan (\alpha+\beta)= (d) \frac{a^2-b^2}{a^2+b^2} (e) \frac{a^2+b^2}{a^2-b^2}

Correct Answer is : (I)→ (a) ( II )→ (d) ( III )→ (b) ( IV )→ (c)

(I) \to (a) (II) \to (e) (III) \to (d) (IV) \to (c)

( {\I}) \to (a) ( II ) \to (c) ( III ) \to (b) ( IV ) \to (e)

(I) \to (a) (II) \to (d) (III) \to (c) (IV) \to (b)

( {\I}) \to (a) ( II ) \to (d) ( III ) \to (b) ( IV ) \to (c)

AP EAPCET 15th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 23 of 160

Marks: +1, -0

If cos‌α+cos‌β=a and sin‌α+sin‌β=b, then match the items given in List −A with those of their values in List - B

List-A

List-b

(I) tan(‌

α+β

(a) ‌

(II) cos(α+β)=

(b) ‌

2ab

a2+b2

(III) sin‌(α+β)=

2ab

a2−b2

(IV) tan(α+β)=

(d) ‌

a2−b2

a2+b2

(e) ‌

a2+b2

a2−b2

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