can you please tell me what is the sec of (-855 degrees). and how to find it. thnks
ok i get it
thank you very much for ur help=]
first of all in terms of ± the sec behaves like the cosine, so
sec(-855) = sec(855)
= sec (135) , I took away two rotations
= -sec(45)
= -√2 (since cos 45 = 1/√2, sec 45 = √2/1)
Good
Of course! To find the secant of an angle, you need to evaluate the reciprocal of the cosine of that angle.
In this case, we want to find the secant of -855 degrees. However, the cosine function has a periodicity of 360 degrees, meaning that the cosine of an angle and the cosine of that angle plus a multiple of 360 degrees will be the same. So, we can find an equivalent angle within one revolution of the unit circle.
To do that, let's add 855 degrees to any multiple of 360 degrees to get a positive angle within one revolution. For simplicity, let's find the secant of (-855 + 2 * 360) degrees.
The secant function is defined as the reciprocal of the cosine function:
sec(x) = 1 / cos(x)
Now, we can use a scientific calculator or a trigonometric table to find the cosine of (-855 + 2 * 360) degrees. Once we have that value, we can take the reciprocal to find the secant of the angle.
Please note that the secant function is undefined for angles where the cosine is equal to zero because it would involve dividing by zero.