Trigonometry Concepts and Problems

This video tutorial covers the basics of trigonometry, focusing on right-angled triangles. It explains the Pythagoras theorem and introduces trigonometric ratios such as sine, cosine, and tangent. The video includes several examples demonstrating how to find missing sides and angles in triangles using these concepts. Each example builds on the previous one, providing a comprehensive understanding of trigonometric applications.

What is the primary focus of trigonometry?

• Study of calculus

• Study of relationships between side lengths and angles of triangles

• Study of circles

• Study of algebraic equations

In a right-angled triangle, what is the side opposite the right angle called?

• Adjacent

• Base

• Opposite

• Hypotenuse

According to Pythagoras Theorem, what is the relationship between the sides of a right-angled triangle?

• The sum of the squares of the two shorter sides is equal to the square of the hypotenuse

• The square of one side is equal to the sum of the other two sides

• The sum of the squares of all sides is equal

• The square of the hypotenuse is equal to the sum of the squares of the other two sides

What does the 'S' in SOHCAHTOA stand for?

• Sum

• Sine

• Secant

• Square

In the first example, what is the missing side length if the opposite side is 4 and the hypotenuse is 5?

• 5

• 6

• 4

• 3

In the second example, what is the length of PQ if the angle is 60 degrees and the hypotenuse is 8?

• 2

• 8

• 4

• 6

In the third example, what is the length of QS if angle PQR is 50 degrees and PS is 4 cm?

• 5.36 cm

• 3.36 cm

• 6.36 cm

• 4.36 cm

In the fourth example, what is the value of x if the hypotenuse is 20 cm and the adjacent side is 6 cm?

• 3 cm

• 2 cm

• 4 cm

• 5 cm