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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Is cos–1(– x) = π – cos–1 true? justify your answer - Mathematics

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Question

Is cos–1(– x) = π – cos–1 true? justify your answer

Sum

Solution

Let π = cos–1(– x)

⇒ cos π = – x

⇒ – cos π = x

⇒ cos(π – π) = x

⇒ π – π = cos–1 x

⇒ π – cos1x = π

⇒ π – cos1x = cos1(– x)

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The Cosine Function and Inverse Cosine Function
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Chapter 4: Inverse Trigonometric Functions - Exercise 4.2 [Page 142]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.2 | Q 3 | Page 142
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