Trigonometric equations use both the reference angles and trigonometric identities The general method of solving an equation is to convert it into the form of one ratio only. Hence, we can obtain solutions. Trigonometric Equation
You are browsing archives for
Category: Trigonometry and Circular Function
Trigonometric Identity
The trigonometric identity showing that the identity is always true, no matter what value of x or θ is used. Because it has to hold true for all values of x, we cannot simply substitute in a few values of x to “show” that they are equal. We have to use logical steps to show […]
Trigonometric Identity
trigonometry identities showing that the identity is always true, no matter what value of x or θ is used. Because it has to hold true for all values of x, we cannot simply substitute in a few values of x to “show” that they are equal. We have to use logical steps to show that one […]
Product to Sum
Product‐Sum and Sum‐Product Identities. The process of converting products into sums can make a difference . Integrate \( \int \! \sin 3x \cos 4x \, \mathrm{d}x.\) This problem may seem tough at first, but after using the product-to-sum trigonometric formula, this integral very quickly changes into a standard form . Converting a sum of trig functions into a product. Write as and then […]
Linear trigonometric equation
Linear Trigonometric equations are either linear or quadratic in nature. To find the angle value(s) that satisfy the given equation. Because it is linear trigonometric eq. hence it has two roots. Linear trigonometric eq
Interpretation of trigonometric graph
Sound waves travel in a repeating wave pattern. This represent graphically by sine and cosine functions. As trigonometric function is periodic therefore it use for sound wave. Similarly we use in wheel also for model function, because of rotation of wheel. Also use of periodic conditions. trigonometric function
Angle unit conversion
Radians and degrees are two different units for angle. The radian is the SI unit for measuring angles. Because it is continuous therefore it is use in trigonometric function. Hence it represent in multiple of π. Angle unit conversion
Trigonometric Equation (Radian)
Trigonometric Equation involve one or more trigonometric ratios of unknown angles. Due to difference unit of angle , hence it gives angle in different form. Similarly it give value in radian. Trigonometric equation
Trigonometric Equation(Degree)
Trigonometric Equations involve one or more trigonometric ratios of unknown angles. Due to difference unit of angle , hence it gives angle in two different form. Similarly it give value in degree. Trigonometric Equation
Trigonometric identity
Trig identity is equations that are true for Right Angled Triangles. D1: sin 2A+ cos 2A=1 D2: 1+ tan 2A= sec 2A D3: 1+ cot 2A= csc 2A Hence trigonometric identities are prove by above D1,D2 and D3. Similarly also using reciprocal identity. Trigonometric Identity
