Equating trigonometric identities: <msqrt> 3 </msqrt> cos &#x2061;<!-- ⁡ --> (

Rebecca Villa

Rebecca Villa

Answered question

2022-07-03

Equating trigonometric identities: 3 cos ( x ) sin ( x ) = 0 , x [ π , π ]

Answer & Explanation

behk0

behk0

Beginner2022-07-04Added 14 answers

3 cos ( x ) = sin ( x )
3 = sin x cos x = ?
tan x = tan π 3 x = n π + π 3
where n is any integer.
Choose n such that x [ π , π ]
ntaraxq

ntaraxq

Beginner2022-07-05Added 3 answers

3 cos x sin x = 0
Dividing both sides by 2.
3 2 cos x 1 2 sin x = 0</math
sin 60 cos x cos 60 sin x = 0</math
sin ( 60 x ) = 0</math
x = 60 , 120

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