Question

Write theta if √3sin theta =cos theta

Answer 1

Answer:

root three sin theta = cos theta

root 3 sin theta = cos( 90 - theta)

root 3 sin theta = sin *90-theta

( cos 90 - theta = sin theta )

sin cancelled by sin

root 3 theta = 90 - theta

root three theta + theta = 90

theta + theta = 90/root3

2 theta = 30*root 3

theta = 30* root 3 /2

theta = 15*root 3

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Answer 2

Answer:

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Step-by-step explanation:

√3 sin x = cos x

=> sin x / cos x = 1 / √3

=> tan x = 1 / √3

=> tan x = tan ( π / 6 )

=> x = ( π / 6 )