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Chapter 9: Q. 3 (page 591)

The sum formula for the cosine function is $C o s (A + B)$

Short Answer

Expert verified

$C o s (A + B) = C o s A C o s B - S i n A S i n B$

Step by step solution

Step 1. Given

Given trigonometric function

$C o s (A + B)$ .

Step 2. Concept

We will use standard formula for trigonometric function to get the desired results.

Step 3. Calculation

$C o n s i d e r C o s (A + B) t h e r e f o r e, C o s (A + B) = C o s A C o s B - S i n A S i n B$

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Most popular questions from this chapter

Identify and graph each polar equation. Verify your graph using a graphing utility.

$r = 2 + 2 \cos θ$

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

$(- 2, 0)$

In Problems 13–28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

$r \cos θ = 4$

In Problems 13–28, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.

$r = 4$

In Problems 39–54, the polar coordinates of a point are given. Find the rectangular coordinates of each point.

$(- 3.1, 182 °)$

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The sum formula for the cosine function isCos(A+B)

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept

Step 3. Calculation

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The sum formula for the cosine function is $C o s (A + B)$