trigonometric ratios (1 Viewer)

[skillstriker]

Find all the values of theta between 0^o and 360^o​ for which:
sin(theta) + (sqrt3)cos(theta) = 0

 

[Peeik]

Hint: Divide all terms by cos(theta).

Have a go yourself, if you really dont know then ill write it up, or perhaps someone will beat me to it haha (carrot/spiral).

 

[Carrotsticks]

2 methods:

1. Auxiliary Angle method

2. Divide both sides by cos theta.

Answers are: 120 and 300 degrees.

 

[skillstriker]

Thanks Peeik and Carrotsticks! What's the auxillary angle method?? Which one is the easiest

 

[Carrotsticks]

 

[Carrotsticks]

Thanks Peeik and Carrotsticks! What's the auxillary angle method?? Which one is the easiest

If you have not learnt Auxiliary Angle method yet, you need not worry about it for this question. It is a longer method anyway than what Peeik suggested.

Also, it is used for problems like:

 

[Peeik]

If your doing 2u maths only then you wouldnt know how to use the aux method....but in saying that, i feel like the question is designed so that you dont need the aux method.