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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the value of cos-1(12)+sin-1(-1) - Mathematics

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Question

Find the value of `cos^-1(1/2) + sin^-1( - 1)`

Sum

Solution

x = `cos^-1(1/2)`

cos x = `1/2 = cos  pi/3`

x = `pi/3`

y = `sin^-1 (- 1)`

sin y = `- 1 = sin(- pi/2)`

y = `- pi/2`

`cos^-1(1/2) + sin^-1( - 1) = pi/3  pi/2`

= `(2pi - 3pi)/6`

= `- pi/6`

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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]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.2 | Q 5. (ii) | Page 142
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