Review the proof of the identity cos(π − A) = −cosA.

cos(π − A)

Step 1: = cosπcosA − sinAsinπ

Step 2: = (−1)(cosA) + (sinA)(0)

Step 3: = −1cosA + (sinA)(0)

Step 4: = −cosA + 0

Step 5: = −cosA

At which step was an error made?

step 1
step 2
step 3
step 4

Question

02-12-2022
Mathematics

Answered

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Review the proof of the identity cos(π − A) = −cosA.

cos(π − A)

Step 1: = cosπcosA − sinAsinπ

Step 2: = (−1)(cosA) + (sinA)(0)

Step 3: = −1cosA + (sinA)(0)

Step 4: = −cosA + 0

Step 5: = −cosA

At which step was an error made?

step 1
step 2
step 3
step 4

Sagot :

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