展开 2(arctan(tan(t))+pi/4)

解答

展开

2 (arctan (tan (t)) + \frac{π}{4})

2 arctan (tan (t)) + \frac{π}{2}

求解步骤

2 (arctan (tan (t)) + \frac{π}{4})

使用分配律:

a (b + c) = ab + a c

a = 2, b = arctan (tan (t)), c = \frac{π}{4}

= 2 arctan (tan (t)) + 2 \cdot \frac{π}{4}

2 \cdot \frac{π}{4} = \frac{π}{2}

= 2 arctan (tan (t)) + \frac{π}{2}

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