Sin 45: Learning about trigonometry and

Learning about trigonometry and trigonometric ratios. Understanding sin and the value of sin 45 ° along with its derivation. Also, learning how the value changes in different quadrants. What is value of sin 30? ... Solution For Value of sin 45 degreesConcepts: Trigonometry, Sine function, Angles Explanation: To find the value of sin 45 degrees, we can use the fact that sin 45 degrees is equal to sin (π/4 radians). This is a well-known value in trigonometry. Step by Step Solution: Step 1 Convert 45 degrees to radians: 45 degrees = π/4 radians. Step 2 Recall the value of sin (π/4): sin (π/4) = √2/2. Step 3 Thus, sin 45 degrees = √2/2. Final Answer: The value of sin 45 degrees is √2/2. The sine of 45 degrees, denoted as sin 45 °, has a standard value of 0.70710678118. This value is an essential trigonometric ratio and represents the ratio of the length of the side opposite a 45 -degree angle in a right triangle to the length of the hypotenuse (the longest side). In practical applications, sin 45 ° is frequently used in mathematics, engineering, and physics to solve various problems involving angles and triangles. It’s a fundamental value in trigonometry that simplifies ...