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Two parts of trigonometry in mathematics include trigonometric equality and inequality. These two methods have been used in mathematics for different purposes. Besides, they have a different logistic function that has been described in this study. The identification of trigonometric equality and inequality has been described below. As both have different identities and use for different functions in mathematics, the difference between trigonometric equality and inequality has been mentioned by using examples in this study.
Explanation of trigonometric equality in mathematics
Trigonometric equality has been defined as the identities of trigonometry that are the accurate and true value in the trigonometric sum. Besides, these identities are looking the same and equal on both sides. In addition, it has been stated that trigonometry angles and integrated mathematical functions are the identities of the trigonometric equalities. These variables of the trigonometric function have been used to make different kinds of trigonometry mathematics sum and equation. These variables have true mathematical values and have been changed based on the change of the given variables’ function. This function is constructed based on the angle difference between length and base in a triangle. All the trigonometric equalities have been constructed with the help of the six trigonometric ratios. The six “trigonometric ratios” are “sine”, “secant”, “cotangent”, “cosine”, “tangent”, “cosecant”. This identity has been considered based on the height and base of the right-angle triangles in geometrical mathematics. Besides, these six trigonometric ratios have been constructed based on the “adjacent side”, “hypotenuse side”, and “opposite side” in the right-angle triangle. In addition, these trigonometric variables have been used for different purposes in different kinds of mathematical problems. The identities have five major classifications that have been discussed below. “Θ” is the angle that has been considered between the angle of length and base with hypotenuse in the right-angle triangles.
Trigonometric Identities of Reciprocal
It is constructed based on the reciprocal of the trigonometric identities.
Example: – “(Sin Θ = 1/Cosec Θ a Cosec Θ = 1/Sin Θ)”
Trigonometric Identities of Pythagorean
It is constructed based on the formula of the Pythagoras
“(sin2Θ + cos2Θ = 1)”
Trigonometric Identities of Ratio
This part indicates the ratio of the length and base.
“Tan Θ = Sin Θ/Cos Θ”
Opposite Angles Trigonometric Identities
These identities have indicated the same value but different signs.
“Sin (-Θ) = – Sin Θ”
Complementary Angles Trigonometric Identities
These identities have indicated the relation of the trigonometric variables with its 90o angle.
“Sin (90o – Θ) = Cos Θ”
Explanation of trigonometric inequality in mathematics
Inequalities of trigonometric have indicted the value, which belongs either greater than zero or lesser than zero that deepens on mathematical conduction. The value of the inequality function belongs first to the last end to math. Based on this sense, radian functions such as π value have been used in the equality sums. Both positive and negative sign has been used with a trigonometric function that indicates their actual geometric position. The values of the trigonometric inequality limit the value of the basis of variables interval and asymptotes. These inequalities look like trigonometric equalities and have been considered the opposite of the original angle in the right angle sight triangle.
Based on this statement, if “X” is the angel has made between length and base opposite original angel then it can be written as
“sin X < A(or >A)”
“coos X< A(or >A)”
“tan X < A (or > A)”
“cot X A)”
Note: – A has indicated a given where the value of x is either greater or less
Difference between trigonometric equality and inequality in mathematics
Trigonometric equality has been defined as the identities of trigonometry that are the accurate and true value in the trigonometric sum.
Inequalities of trigonometry have indicated the value that belongs either greater than zero or lesser than zero.
Trigonometric equality has a particular sign where a particular value has indicated in the sum.
Trigonometric inequalities have a certain value that is not taken accurately. Besides, these inequalities values have been considered as an asymptote and limit values in the variable intervals.
Here a particular angle in degree has been used.
Here radio sign has been used that is either positive or negative.
Trigonometric equalities cannot change in trigonometric inequalities.
Trigonometric inequalities can be changed in trigonometric equalities properly.
Conclusion
Throughout has been conducted about the inequalities and equalities of trigonometry. The two parts of trigonometry in mathematics including trigonometric equality and inequality have been used in mathematics for different purposes. Besides, they have different functions that have been described in this study. Moreover, the identification and example of trigonometric equality and inequality have been described above. The Difference between trigonometric equality and inequality in mathematics has been presented above the study. In addition, some questions and their answers have been mentioned about trigonometric inequality in the last part.
