Search results
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is ...
a2 c2 + b2 c2 = c2 c2. This can be simplified to: (a c)2 + (b c)2 = 1. a/c is Opposite / Hypotenuse, which is sin (θ) b/c is Adjacent / Hypotenuse, which is cos (θ) So (a/c) 2 + (b/c) 2 = 1 can also be written: sin 2 θ + cos 2 θ = 1. Note: sin2 θ means to find the sine of θ, then square the result, but.
Sine is the ratio of Opposite / Hypotenuse: sin (45°) = OppositeHypotenuse. Get a calculator, type in "45", then the "sin" key: sin (45°) = 0.7071...
5 cze 2024 · The angle of cosecant is the reciprocal of the sine, csc (θ) = 1/sin (θ). The angle of secant is the reciprocal of the cosine, sec (θ) = 1/cos (θ). The angle of cotangent is the reciprocal of the tangent, cot (θ) = 1/tan (θ). It is used in trigonometry to express angles in radians.
Effortlessly find trigonometric function values (sin, cos, tan, cot) or solve for missing sides or angles in a right triangle using our remarkable tool crafted by experts.
Solution: To find the value of sin 135°, we will use the angle sum property of sine given by, sin (a + b) = sin a cos b + sin b cos a and the sine values. Assume a = 90° and b = 45°. Then, from the sine table, we have sin 90° = 1, sin 45° = 1/√2, cos 90° = 0, and cos 45° = 1/√2. Also, we can express 135° as 135° = 90° + 45°.
In trigonometry, the three ratios form the basis of definition of the three basic trigonometric functions, called the sine, cosine, and tangent. Given an acute angle \ ( \theta \), construct a right triangle one (or both) of whose acute angles is \ ( \theta \):
