Sin theta Cos theta Table
As you know that Sin theta Cos theta formula table is very important to solve Trigonometry questions. Trigonometric identities are very useful to solve any kind of mathematics problems related to trigonometry. Trigonometry deals with functions of angles and their applications. There are mainly 6 trigonometric functions sine, Cosine, Tangent, Cotangent, Secant and Cosecant. By using right angle triangle properties we can find relation in between these six different types of Trigonometric functions Sin theta, Cos theta, Tan theta, cot theta, sec theta and cosec theta.
|Angles (in degrees)||0°||30°||45°||60°||90°|
|Angles (in radian)||0||π/6||π/4||π/3||π/2|
- These Trigonometric functions can also be called as circular functions as their values can be described as the ratios of x and y coordinates of the circle of Radius 1 that keep in touch with the angles in standard positions.
What Are Sin Cos theta Formula ?
- If (x,y) is a point on the unit circle, and if a ray from the origin (0, 0) to (x, y) makes an angle θ from the positive axis, then x and y satisfy the Pythagorean theorem x2 + y2 = 1, where x and y form the lengths of the legs of the right-angled-triangle. Thus the basic sin cos formula becomes cos2θ + sin2θ = 1.
You must know that each and every trigonometric identities are true for Right Angled Triangles. Name of the each side of right angle triangle – Hypotenuse, Adjacent, Opposite. There are three main trigonometry functions – Sine, Cosine and Tangent. These trigonometric functions Sin theta cos theta formula are length of the ratio of sides of right angle triangle.
|Sine Function:||sin(θ) = Opposite / Hypotenuse|
|Cosine Function:||cos(θ) = Adjacent / Hypotenuse|
|Tangent Function:||tan(θ) = Opposite / Adjacent|
Now if we divide sine function sin theta by cos theta function then we would get Tangent function tan(θ). Please follow this link of Explanation of Mathematics formula – Click
- sin(θ)cos(θ) = (Opposite / Hypotenuse) / (Adjacent / Hypotenuse) = Opposite / Adjacent = tan(θ)
- So we can say: tan(θ) = sin(θ) / cos(θ)
|Cosecant Function:||cosec(θ) = Hypotenuse / Opposite|
|Secant Function:||sec(θ) = Hypotenuse / Adjacent|
|Cotangent Function:||cot(θ) = Adjacent / Opposite|
|sin(θ) = 1/cosec(θ)||cosec(θ) = 1/sin(θ)|
|cos(θ) = 1/sec(θ)||sec(θ) = 1/cos(θ)|
|tan(θ) = 1/cot(θ)||cot(θ) = 1/tan(θ)|
|tan(θ) = sin(θ) / cos(θ)||cot(θ) = cos(θ) / sin(θ)|
Sin Theta = Cos (90 – Theta) and Cos Theta = Sin (90 – Theta)
cos2θ + sin2θ = 1.
tan theta = sin theta / cos theta
sinθ=opposite / hypotenuse
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