Tricks to Remember Trigonometric Ratios and Value Table

This video tutorial covers trigonometric ratios, focusing on a trick to remember the value table for common angles. It explains the use of complementary angles to find sine, cos, and cosec values, and demonstrates how to calculate tan and cot. The session concludes with a practical exercise applying these concepts to solve a real-world problem involving a tree and a boy at a distance.

What is the main focus of this session on trigonometry?

• Deriving the value table

• Learning a trick to remember the value table

• Understanding the history of trigonometry

• Solving complex trigonometric equations

What is the first step in the trick to remember sine values?

• Divide numbers by 4

• Multiply numbers by 2

• Write down numbers from 0 to 4

• Take the square root of numbers

How do you find the cosine values using sine values?

• By adding 90 degrees to sine values

• By subtracting sine values from 1

• By multiplying sine values by 2

• By using the concept of complementary angles

What is the relationship between sine and cosecant?

• Cosecant is the inverse of sine

• Cosecant is the sum of sine and cosine

• Cosecant is the difference between sine and cosine

• Cosecant is the square of sine

What is the value of tan 60?

• Root 3

• 1

• 0

• 1/Root 3

Why is 1 divided by 0 considered undefined?

• Because it results in infinity

• Because it is a meaningless expression

• Because it equals zero

• Because it is a negative number

In the practical problem, what trigonometric ratio is used to find the height of the tree?

• Cosecant

• Tangent

• Cosine

• Sine

What is the angle made by the boy with the top of the tree in the practical problem?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

How can you find the value of cosec 45?

• By subtracting 45 from sine 45

• By using the inverse of sine 45

• By using the square of sine 45

• By adding 45 to sine 45

What is the key takeaway from the session regarding the value table?

• The table is only useful for angles above 90 degrees

• The table is not applicable in real-world problems

• You need to memorize the entire table

• You can derive the entire table from sine values