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If $α, β ϵ (0, \frac{π}{2})$ and if $sin^{4} α + 2 cos^{4} β + 2 = 42 sin α cos β$ then the value of $cos (α + β) - cos (α - β)$ is (A) $2$ (B) $\frac{1}{2}$ (C) $- \frac{1}{2}$ (D) $- 2$

Name: Video solution 1: If α,βϵ(0,2π) and if sin4α+2cos4β+2=42sinαcosβthen the value of cos(α+β)−cos(α−β) is (A) 2 (B) 21 (C) −21 (D) −2
Uploaded: 2021-01-01T18:41:02.000Z
Duration: 2 min
Description: Video solution 1: If α,βϵ(0,2π) and if sin4α+2cos4β+2=42sinαcosβthen the value of cos(α+β)−cos(α−β) is (A) 2 (B) 21 (C) −21 (D) −2

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Sebastian Discussed

α, β ϵ (0, \frac{π}{2})

and if

sin^{4} α + 2 cos^{4} β + 2 = 42 sin α cos β

then the value of

cos (α + β) - cos (α - β)

is (A)

2

(B)

\frac{1}{2}

(C)

- \frac{1}{2}

(D)

- 2

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Question Text	If $α, β ϵ (0, \frac{π}{2})$ and if $sin^{4} α + 2 cos^{4} β + 2 = 42 sin α cos β$ then the value of $cos (α + β) - cos (α - β)$ is (A) $2$ (B) $\frac{1}{2}$ (C) $- \frac{1}{2}$ (D) $- 2$
Answer Type	Video solution: 1
Upvotes	150

If α,βϵ(0,2π​) and if sin4α+2cos4β+2=42​sinαcosβthen the value of cos(α+β)−cos(α−β) is (A) 2​ (B) 2​1​ (C) −2​1​ (D) −2​

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If $α, β ϵ (0, \frac{π}{2})$ and if $sin^{4} α + 2 cos^{4} β + 2 = 42 sin α cos β$ then the value of $cos (α + β) - cos (α - β)$ is (A) $2$ (B) $\frac{1}{2}$ (C) $- \frac{1}{2}$ (D) $- 2$