The value of -2cos 56- 15- - isin 56- 15-8 is

The correct option is A 4i (√(2){cos(56^∘ 15') + i sin (56^∘ 15')})^8 = (√(2))^8 × (e^i× 56.25^∘)^8 = 16× e^i× 450^∘ = 16(cos 450^∘ + isin 450^∘) 16i ...

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Standard XII

Mathematics

General Solution of Trigonometric Equation

The value of ...

Question

The value of $[\sqrt{2} {cos (56^{\circ} 15^{'}) + i sin (56^{\circ} 15^{'})}]^{8}$ is

4 i

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8 i

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16 i

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- 16 i

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Solution

The correct option is A $4 i$
$(\sqrt{2} {cos (56^{\circ} 15^{'}) + i sin (56^{\circ} 15^{'})})^{8} = (\sqrt{2})^{8} \times (e^{i \times {56.25}^{\circ}})^{8} = 16 \times e^{i \times 450^{\circ}} = 16 (c o s 450^{\circ} + i sin 450^{\circ}) 16 i$

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The value of [√2{cos(56∘15′)+isin(56∘15′)}]8 is

The correct option is A 4i(√2{cos(56∘15′)+isin(56∘15′)})8=(√2)8×(ei×56.25∘)8=16×ei×450∘=16(cos450∘+isin450∘)16i

The value of $[\sqrt{2} {cos (56^{\circ} 15^{'}) + i sin (56^{\circ} 15^{'})}]^{8}$ is

The correct option is A $4 i$
$(\sqrt{2} {cos (56^{\circ} 15^{'}) + i sin (56^{\circ} 15^{'})})^{8} = (\sqrt{2})^{8} \times (e^{i \times {56.25}^{\circ}})^{8} = 16 \times e^{i \times 450^{\circ}} = 16 (c o s 450^{\circ} + i sin 450^{\circ}) 16 i$