Answered: Mutiply (a) (a-1) (a+6) (b) (cos…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.5: Trigonometric Form For Complex Numbers

Problem 26E

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Question

Mutiply

(a) (a-1) (a+6)

(b) (cos theta -1 ) ( cos theta + 6 )

Expert Solution

Step 1

We have to multiply:

$(a) (a - 1) (a + 6) (b) (\cos θ - 1) (\cos θ + 6)$

$(a)$ Multiplying the expressions,

$\begin{array}{rcl} (a - 1) (a + 6) & = & a (a + 6) - 1 (a + 6) \\ = & a \times a + a \times 6 - 1 \times a - 1 \times 6 \\ = & a^{2} + 6 a - a - 6 \\ = & a^{2} + 5 a - 6 \end{array}$

Hence, required answer is $\begin{array}{rcl} a \end{array} \begin{array}{rcl} \end{array}$ ²+5a-6.

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