step 1 The question says that we have to find the value for angle x. Here the equation is sine 2x equal

Sin2 x=cos3 x | Numerade

Name: Problem 64, Chapter 12: Mathematics for IIT JEE Main and Advanced Differential Calculus Algebra Trigonometry
Uploaded: 2021-07-31T03:21:35-08:00
Duration: 1 min 36 s
Channel: Tanishq Gupta
Description: sin2 x=cos3 x

Key Concepts

Trigonometric Identities

Trigonometric identities are fundamental equations involving trigonometric functions that hold true for all values within their domains. These identities, such as the relationship between sine and cosine, are essential for rewriting and simplifying expressions, making them a crucial tool in solving trigonometric equations.

Co-function Identity

The co-function identity highlights the relationship between the sine and cosine functions, stating that the sine of an angle is equal to the cosine of its complementary angle. This identity allows one to convert between sine and cosine expressions, which is a key step in solving equations where these functions are equated.

General Solution of Trigonometric Equations

When solving trigonometric equations, it is important to find all possible solutions, not just a particular instance. The general solution expresses the infinite set of solutions by incorporating the periodic nature of trigonometric functions, typically through the addition of an integer multiple of the function's period.

Periodicity of Trigonometric Functions

Trigonometric functions are periodic, meaning their values repeat at regular intervals. This property is fundamental when solving trigonometric equations, as it ensures that once a solution is found, additional solutions can be generated by adding or subtracting appropriate multiples of the period.

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