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Examples of operations of functions in trigonometry?
Trigonometry includes 12 baisic functions. Sine, Cosine, and Tangent are the three most baisic. Each of those functions has a reciprocal. Cosine's reciprocal is Secant, Sine reciprocal is Cosecant, and Tangent's reciprocal is Cotangent. Each of those six functions has an inverse funcion called Inverse Sine, Cos etc... or Arcsine, Arcosine, Arcsecant, etc.... The shorthand for each function is sin, caos, tan, sec, csc, cot. The inverses have a -1 notation like sin-1.
What is csc theta?
That depends on the value of the angle, theta. csc is short for "cosecans", and is the reciprocal of the sine. That is, csc theta = 1 / sin theta.
What is the cosecant of 105 degrees?
The cosecant of an angle is the reciprocal of the sine of that angle. So, to find the cosecant of 105 degrees, you first need to find the sine of 105 degrees. The sine of 105 degrees is approximately 0.9659. Therefore, the cosecant of 105 degrees is approximately 1.0353 (1 divided by 0.9659).
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
What is the sine of 40 degrees?
sine 40° = 0.642788
