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studentxlol
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Homework Statement
Solve the equation: sin(x+∏/6)=2cosx for 0≤x≤2∏
Homework Equations
sinAcosB+cosAsinB
The Attempt at a Solution
sin(x+∏/6)=2cosx
2cosx=(√3)/2sinx+1/2cosx
How do I solve from here?
studentxlol said:Homework Statement
Solve the equation: sin(x+∏/6)=2cosx for 0≤x≤2∏
Homework Equations
sinAcosB+cosAsinB
The Attempt at a Solution
sin(x+∏/6)=2cosx
2cosx=(√3)/2sinx+1/2cosx
How do I solve from here?
The Addition formula in trigonometry is a mathematical rule that allows us to add or subtract two trigonometric functions to create a new function.
To solve trig equations using the Addition formula, you need to follow these steps:
Yes, the Addition formula can be used for all trigonometric functions, including sine, cosine, tangent, cotangent, secant, and cosecant.
Yes, there are two special cases when using the Addition formula:
You can use the Addition formula when you have an equation that involves adding or subtracting two trigonometric functions, such as sin(x + y) or cos(x - y). If the equation involves multiplication or division of trig functions, you may need to use other trigonometric identities instead.