Question

please solve this find the absolute value ​

Answer 1

Given

cos θ + sin θ = √2cos θ

Squaring both side, we get

(cos θ + sin θ)2 = 2cos2θ

cos2θ + sin2θ + 2 × cosθ × sinθ = 2cos2θ

sin2θ + 2 × cosθ × sinθ = 2cos2θ – cos2θ

sin2θ + 2 × cosθ × sinθ = cos2θ

cos2θ – 2 × cosθ × sinθ = sin2θ

Now adding sin2θ both side, we get

cos2θ -2 × cosθ × sinθ + sin2θ = sin2θ + sin2θ

(cos θ – sin θ)2 = 2sin2θ

cos θ – sin θ = √2sinθ

∴ cos θ – sin θ = √2sinθ

Answer 2

Answer:

The most common way to represent the absolute value of a number or expression is to surround it with the absolute value symbol: two vertical straight lines.

|6| = 6 means “the absolute value of 6 is 6.”

|–6| = 6 means “the absolute value of –6 is 6.”

|–2 – x| means “the absolute value of the expression –2 minus x.”

Step-by-step explanation:

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