The Sine of an angle B is -0.2732 and cos B is negative. Find the value of B if B is between 0 and 360

Question

The Sine of an angle B is -0.2732 and cos B is negative. Find the value of B if B is between 0 and 360

Answer 1

I learned a simple mnemonic when I took trig 60 years ago: AllSinTanCos...this tells you in which quadrant which trig functions are positive...and I find it worth remembering.

From this mnemonic you can see that the sin and cos are both negative in only quadrant 3.

The angle you are looking for is 195.854775°.