Sin60

 

1. හරයේ ඒකජ සාධක ඇති විට

To find the square root of 3 using logarithms, you can use the property that log(a^b) = b * log(a). First, set the problem as finding x where x = √3. Taking the logarithm of both sides gives log(x) = log(√3). Since a square root is the same as raising to the power of 1/2, we can write this as log(x) = log(3^(1/2)). Applying the logarithmic power rule, this simplifies to log(x) = (1/2) * log(3). You would then find the value of log(3) (using a calculator or log table), multiply that value by 0.5, which gives you the logarithm of your answer. Finally, to find the actual value of √3, you would compute the antilogarithm (or inverse logarithm) of the result obtained in the previous step.

 

The Teacher’s Word Book of 30,000 Words, compiled by Edward L. Thorndike and published in 1932, is a foundational resource in the field of English language education and vocabulary studies. Designed to help educators focus on the most commonly used words in English, the book provides a ranked list of 30,000 words based on their frequency of use in literature, newspapers, and other written texts of the time. This list aimed to guide teachers in selecting vocabulary that would be most beneficial for students to learn, ensuring that language instruction was both practical and efficient. The word book was groundbreaking in its systematic, data-driven approach and laid the groundwork for future research in vocabulary acquisition and curriculum design. Despite its age, the book remains an important historical reference in linguistic studies and continues to influence modern approaches to language teaching and lexical analysis.

 

Use the basic identity

$$\sin^2(\theta) + \cos^2(\theta) = 1$$

see: how to prove it