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Avah Knapp

Avah Knapp

Answered question

2022-05-21

Given cos x = 12 / 13 ,where 0 < x < 90 , find the value of sin ( 2 x )

Answer & Explanation

Ada Harrington

Ada Harrington

Beginner2022-05-22Added 12 answers

If cos x = 12 13 and x is an acute angle, sin x = 5 13 , since (5,12,13) is a well-known Pythagorean triple, and
sin ( 2 x ) = 2 sin ( x ) cos ( x ) = 120 169
by the sine duplication formula
Liberty Mack

Liberty Mack

Beginner2022-05-23Added 6 answers

use the two trigonometric identities
sin 2 x = 2 sin x cos x
sin x = 1 cos 2 x

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