Worksheet: Introduction to Trigonometry

# Introduction to Trigonometry Class 10 Worksheet Maths Chapter 8

### True and False

Q1: cosA = 4/3 for some angle A.

Q2: tanA = sinA/cosA

Q3: secA = 1cosA, for an acute angle

Q4: sin60º = 2sin30º

Q5: SinA + CosA = 1

Q6: Write the values cos 0°, cos 45°, cos 60° and cos 90°. What happens to the values of cos as angle increases from 0° to 90°?

Q7: Write the values of tan 0°,tan 30°, tan 45°, tan 60° and tan 90°. What happens to the values of tan as angle increases from 0° to 90°?

Q8: If cosec A = √10 . find other five trigonometric ratios.

Q9: The value of (sin 30 + cos 30) − (sin 60 + cos 60) is

Q10: Evaluate the following: 2sin2 30 − 3cos245 + tan260

Q11: Evaluate:
cot230∘  − 2cos260 − 3/ 4sec245 − 4sec230

Q12: Write the values of sin 0°, sin 30°, sin 45°, sin 60° and sin 90°. What happens to the values of sin as angle increases from 0° to 90°?

Q13: If sin A = 3/5 .find cos A and tan A.

Q14: In a right triangle ABC right angled at B if sinA = 3/5. find all the six trigonometric ratios of C.

Q15: If sinB = 1/2 , show that 3 cosB − 4 cos3B = 0

You can access the solutions to this worksheet here.

The document Introduction to Trigonometry Class 10 Worksheet Maths Chapter 8 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10

## Mathematics (Maths) Class 10

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## FAQs on Introduction to Trigonometry Class 10 Worksheet Maths Chapter 8

 1. What is trigonometry and why is it important?
Ans.Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles, particularly right triangles. It is important because it has applications in various fields such as physics, engineering, astronomy, and even in everyday life, such as in navigation and architecture.
 2. What are the primary trigonometric functions and how are they defined?
Ans.The primary trigonometric functions are sine (sin), cosine (cos), and tangent (tan). They are defined as follows for a right triangle: - Sine (sin) of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. - Cosine (cos) of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. - Tangent (tan) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
 3. How can I remember the trigonometric ratios?
Ans.One common way to remember the trigonometric ratios is by using the acronym SOH-CAH-TOA: - SOH: Sine = Opposite / Hypotenuse - CAH: Cosine = Adjacent / Hypotenuse - TOA: Tangent = Opposite / Adjacent. This helps in recalling the definitions of the sine, cosine, and tangent functions.
 4. What are the values of trigonometric functions for special angles?
Ans.The values of trigonometric functions for special angles (0°, 30°, 45°, 60°, and 90°) are as follows: - sin(0°) = 0, sin(30°) = 1/2, sin(45°) = √2/2, sin(60°) = √3/2, sin(90°) = 1 - cos(0°) = 1, cos(30°) = √3/2, cos(45°) = √2/2, cos(60°) = 1/2, cos(90°) = 0 - tan(0°) = 0, tan(30°) = 1/√3, tan(45°) = 1, tan(60°) = √3, tan(90°) is undefined.
 5. How is the unit circle related to trigonometry?
Ans.The unit circle is a circle with a radius of one centered at the origin of a coordinate plane. It is fundamental in trigonometry because the coordinates of any point on the circle represent the cosine and sine of the angle formed with the positive x-axis. This relationship allows for the extension of trigonometric functions to all real numbers, as angles can be measured in radians around the unit circle.

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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