What is expand 2(-(5pi)/(12))+pi/2 ?

The solution to expand 2(-(5pi)/(12))+pi/2 is -pi/3

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expand 2(-(5pi)/(12))+pi/2

expand

2 (- \frac{5 π}{12}) + \frac{π}{2}

- \frac{π}{3}

Decimal Notation

- 1.04719 \dots

Solution steps

2 (- \frac{5 π}{12}) + \frac{π}{2}

Remove parentheses:

(- a) = - a

= - 2 \cdot \frac{5 π}{12} + \frac{π}{2}

2 \cdot \frac{5 π}{12} = \frac{5 π}{6}

= - \frac{5 π}{6} + \frac{π}{2}

Least Common Multiplier of

6, 2 : 6

Adjust Fractions based on the LCM

= - \frac{5 π}{6} + \frac{π 3}{6}

Since the denominators are equal, combine the fractions:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 5 π + π 3}{6}

Add similar elements:

- 5 π + 3 π = - 2 π

= \frac{- 2 π}{6}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{2 π}{6}

Cancel the common factor:

2

= - \frac{π}{3}

(1 + sin (x)) (sin (x))

(r sin (θ) - r^{2} + 4) (r)

\frac{x ^{3} ( x - 1 ) ^{2}}{( 2 x + 1 ) ^{2}}

(cos (t) + cos (2 t))^{2}

(e^{i x} + e^{- i x})^{4}

What is expand 2(-(5pi)/(12))+pi/2 ?
The solution to expand 2(-(5pi)/(12))+pi/2 is -pi/3