Question : If $ an \alpha=\frac{1}{\sqrt{3}}$ and $ an \beta=\sqrt{3}$ then what is the value of $\cos (\alpha+\beta)$?
Option 1: 0.2
Option 2: 0
Option 3: 0.5
Option 4: 1

Question

Question : If $ an \alpha=\frac{1}{\sqrt{3}}$ and $ an \beta=\sqrt{3}$ then what is the value of $\cos (\alpha+\beta)$?

Option 1: 0.2

Option 2: 0

Option 3: 0.5

Option 4: 1

Team Careers360 · Accepted Answer

Correct Answer: 0

Solution : $ an \alpha=\frac{1}{\sqrt{3}}$
⇒ $\alpha = 30^{\circ}$
$ an \beta=\sqrt{3}$
⇒ $ \beta = 60^{\circ}$
So, $\cos (\alpha+\beta)$
= $\cos (30^{\circ}+60^{\circ})$
= $\cos (90^{\circ}) = 0$
Hence, the correct answer is 0.

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Question : If tan⁡α=13 and tan⁡β=3 then what is the value of cos⁡(α+β)?Option 1: 0.2Option 2: 0Option 3: 0.5Option 4: 1

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Question : If $\tan α = \frac{1}{\sqrt{3}}$ and $\tan β = \sqrt{3}$ then what is the value of $\cos (α + β)$ ?
Option 1: 0.2
Option 2: 0
Option 3: 0.5
Option 4: 1