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Trigonometry Basics for Class 10th

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Questions and Answers

What is the value of sin(60°)?

sqrt(3)/2

Find the value of tan(45°).

If sin(A) = 4/5, find the value of cos(A).

3/5

How are the six fundamental trigonometric functions defined?

They are defined in terms of the ratios of the side lengths of a right triangle, given a specific angle. Signup and view all the answers

In what way is trigonometry fundamental to understanding the world around us?

Trigonometry connects our everyday experiences to the principles of geometry, calculus, and physics. Signup and view all the answers

What are the Greek origins of the word 'trigonometry' and what do they mean?

It is derived from the Greek words 'trigon' (meaning triangle) and 'metron' (meaning measure). Signup and view all the answers

Name three fields in which trigonometry finds applications.

Engineering, architecture, and astronomy. Signup and view all the answers

How is trigonometry used in engineering?

It is employed to calculate forces and stresses in structures, as well as to determine the stability of various constructions. Signup and view all the answers

In what practical applications is trigonometry used?

Trigonometry is used in physics, architecture, and astronomy. Signup and view all the answers

How far up the wall does a 10-meter ladder reach when it forms an angle of 60° with the ground?

Approximately 17.32 meters Signup and view all the answers

What is the distance traveled by a point on the rim of a wheel with a 20-meter radius when the wheel rotates 120°?

Approximately 79.84 meters Signup and view all the answers

What is the role of trigonometry in the study of geometry, physics, engineering, and architecture?

Trigonometry is a cornerstone of mathematical knowledge and an essential tool for understanding the world around us. Signup and view all the answers

What are the six fundamental functions of trigonometry?

Sine, cosine, tangent, cosecant, secant, and cotangent. Signup and view all the answers