Question

evaluate each of the following : sin 30 degree * cos 45 degree * tan 360 degree ​

Answer 1

$\mathtt{\huge{\underline{\red{Question\:?}}}}$

Evaluate each of the following : -

sin 30 degree × cos 45 degree × tan 360 degree

$\mathtt{\huge{\underline{\green{Answer :-}}}}$

➝ sin 30° × cos 45° × tan 360

➝ sin 30° × cos 45° × $\dfrac{sin360°}{cos360°}$

We know , sin 360° = 0

➝ sin 30° × cos 45° × $\dfrac{0}{cos360°}$

• Sin 30° = Sin $\dfrac{</strong><strong>π</strong><strong>}{</strong><strong>6</strong><strong>}$ = $\dfrac{</strong><strong>1</strong><strong>}{</strong><strong>2</strong><strong>}$

• Cos 45° = Cos $\dfrac{π}{</strong><strong>4</strong><strong>}$ = $\dfrac{</strong><strong>√</strong><strong>2</strong><strong>}{2}$

• Tan 360° = Tan 2π = $\dfrac{0}{cos360°}$

➝ $\dfrac{1}{2}$ × $\dfrac{√2}{2}$ × $\dfrac{0}{cos360°}$

➝ $\dfrac{1}{2}$ × $\dfrac{√2}{2}$ × 0

➝ 0

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