Evaluate the following : 2 tan 2 45° + cos 2 30° - sin 2 60°

Substituting values, we get : Hence, 2 tan 2 45° + cos 2 30° - sin 2 60° = 2.

Mathematics

Evaluate the following :
2 tan² 45° + cos² 30° - sin² 60°

Trigonometric Identities

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Answer

Substituting values, we get :

$\Rightarrow \text{2 tan}^2 45° + \text{ cos}^2 30° - \text{ sin}^2 60° = 2 \times (1)^2 + \Big(\dfrac{\sqrt{3}}{2}\Big)^2 - \Big(\dfrac{\sqrt{3}}{2}\Big)^2 \\[1em] = 2 \times (1) + \dfrac{3}{4} - \dfrac{3}{4} \\[1em] = 2.$

Hence, 2 tan² 45° + cos² 30° - sin² 60° = 2.

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Mathematics

Evaluate the following :2 tan2 45° + cos2 30° - sin2 60°

Trigonometric Identities

Answer

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