Match the items of List - A with those of the entries of List - B List - A List -B (I) \sin ^2 5^{\circ}+ \sin ^2 10^{\circ}+ \sin ^2 15^{\circ}+. . .+ \sin ^2 90^{\circ}= (A) 0 (II) \tan ^2 5^{\circ} \cdot \tan ^2 10^{\circ} \cdot \tan ^2 15^{\circ} . . . \cdot \tan ^2 85^{\circ}= (B) \frac{19}{2} (III) \cos ^2 5^{\circ}+\cos ^2 10^{\circ}+\cos ^2 15^{\circ}+. . .+\cos ^2 180^{\circ}= (C) 18 (IV) \cot 5^{\circ}+\cot 10^{\circ}+\cot 15^{\circ}+. . .+\cot 175^{\circ}= (D) 1 (E) -1

Correct Answer is : (1)→(B),( II) → (D), ( III )→(C),( IV )→(A)

(1) \to( {\B}), ( II) \to (D), ( III ) \to( {\C}), ( IV ) \to( {\A})

(1) \to( {\B}), ( {\II}) \to( {\E}), ( {\III}) \to( {\A}), ( {\IV}) \to( {\C})

(1) \to( {\B}), ( II ) \to( {\C}), ( III ) \to( {\A}), ( IV ) \to( {\D})

(1) \to( {\C}), ( {\II}) \to( {\B}), ( {\III}) \to( {\D}), ( {\IV}) \to( {\E})

AP EAPCET 19th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 22 of 160

Marks: +1, -0

Match the items of List - A with those of the entries of List - B

List - A

List -B

(I) sin‌25∘+sin‌210∘+sin‌215∘+...+sin‌290∘=

(A) 0

(II) tan25∘⋅tan210∘⋅tan215∘...⋅tan285∘=

(B) ‌

(III) cos25∘+cos210∘+cos215∘+...+cos2180∘=

(IV) cot‌5∘+cot‌10∘+cot‌15∘+...+cot‌175∘=

(D) 1

(E) −1

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