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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the value of cos 105°. - Mathematics

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Question

Find the value of cos 105°.

Sum

Solution

cos 105° = cos(60° + 45°)

= [cos 60° cos 45° – sin 60° sin 45°]

= `[1/2*1/sqrt2-sqrt(3)/2*1/sqrt(2)]`

= `(1-sqrt3)/(2sqrt2)`

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Trigonometric Functions and Their Properties
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Chapter 3: Trigonometry - Exercise 3.4 [Page 109]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.4 | Q 5. (i) | Page 109

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