Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…

The sign (positive or negative) of `sin(alpha/2)` depends on the quadrant in which `α/2` lies. If `α/2` is in the first or second quadrants , the formula uses the positive case: `sin (alpha/2)=sqrt(1-cos alpha)/2`

Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly.

The half angle formula of sin in trigonometry is sin A/2 = ±√[(1 - cos A) / 2]. We have another half-angle formula of sin in terms of semiperimeter . If a, b, and c are the sides of a triangle and A, B, and C are their corresponding opposite angles, then sin A/2 = √[(s - b) (s - c)/bc].

Begin by entering your mathematical expression into the above input field, or scanning it with your camera. Once you've entered the function and selected the operation, click the 'Go' button to generate the result. The calculator will instantly provide the solution to your trigonometry problem, saving you time and effort.

In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.

When the height and base side of the right triangle are known, we can find out the sine, cosine, tangent, secant, cosecant, and cotangent values using trigonometric formulas. The reciprocal trigonometric identities are also derived by using the trigonometric functions.

The two formulas of sin squared x are i) sin^2x = 1-cos^2x and ii) sin^2x =(1 - cos 2x)/2.

To solve a trigonometric simplify the equation using trigonometric identities. Then, write the equation in a standard form, and isolate the variable using algebraic manipulation to solve for the variable. Use inverse trigonometric functions to find the …

x^{2}-x-6=0 -x+3\gt 2x+1 ; line\:(1,\:2),\:(3,\:1) f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120)