The value for y is 17.5°
The equation is
Sin (3y - 30°) = Cos (7y +50°)
What is Trigonometry ?
Trigonometry is the branch oh Mathematics which involve the study of right angles , its sides and trigonometric ratios.
the equation given in the question is
Sin (3y - 30°) = Cos (7y +50°)
cos(90 - [tex]\rm \theta\\[/tex] ) = sin [tex]\rm \theta\\[/tex]
Therefore
sin(3y-30°) = sin( 90-(7y+50°)
Equating the terms
3y - 30 = 90-7y -50
4y = 90-50+30
4y = 120-50
4y = 70
y = 17.5
The value for y is 17.5°
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