Worksheet on Trigonometric Angles

Practice the questions given in the worksheet on trigonometric angles to know the origin, development and necessity of trigonometry, different methods for measuring trigonometric angles, differentiate between trigonometric and geometric angles.

1. Express in degrees, minutes and seconds:

(i) 832’

(ii) 7312”

(iii) 375”

(iv) 271/12

(v) 72.04°


2. Find the circular measures:

(i) 60°

(ii) 135°

(iii) -150°

(iv) 27°

(v) 22° 30’

(vi) -67° 30’

(vii) 52° 52’ 30”


3. In a triangle one of the angles is 65° and the second one is π /12 find the sexagesimal and circular measures of the third angle.

4. The radius of a circle is 7 cm. Find the circular measure of the angle at the centre by an arc of this circle 5.5 cm in length.

5.The sum and difference of two angles are 135° and π /12 respectively. Find the sexagesimal and circular measures of the angles.

6. A rotating ray traces angle -5 π/12. State, in what direction the ray moves, and find how many complete revolutions it makes and how much more in degrees the ray rotates.

7. In an isosceles triangle ABC, ∠ABC contained by two equal side measures 45°. The bisector of ∠ABC meets AC at the point D. Find the circular measures of ∠ABD, ∠BAD, ∠CBD and ∠BCD.

8. ∠ABC of a right-angled triangle ABC is 90° and ∠BAC = 3 π/8. The perpendicular from the point B on AC meets AC at the point D. Mention the names of all the angles of ∆ABD and ∆BCD and write down their circular measures.

9. Produce the base BC of an equilateral triangle ABC to the point E, such that CE = BC. Join A, E. Now mention the names of all the angles of ∆ACE and write down their circular measure&

10. If π/3, 5π/6 and 90° be any three angles of a quadrilateral, find the fourth angle in terms of sexagesimal and circular systems.


Answers for the worksheet on trigonometric angles are given below to check the exact answers of the above question.


Answers:


1. (i) 13° 52’

(ii) 2° 1’ 52”

(iii) 6’ 15”

(iv) 27° 5’

(v) 72° 2’ 24”


2. (i) π/3

(ii) 3 π/4

(iii) -5 π/6

(iv) 3 π/20

(v) π/8

(vi) -3 π/8

(vii) 47 π/160


3. 100°, 5π/9

4. π/4

5. 75°, 60° and 5π/12, π/3

6. 2 complete revolutions and 195° clockwise

7. ∠BAD = ∠BCD = 3π/8, ∠ABD = ∠CBD = π/8

8. ∠BAD = ∠DBC = 3π/8; ∠ABD = ∠BCD = π/8 and ∠ADB = ∠BDC = π/2

9. ∠EAC = ∠AEC = π/6; ∠ACE = 2π/3

10. 60°, π/3




From Worksheet on Trigonometric Angles to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Measuring Capacity | Standard Unit of Capacity | Litre | Millilitres

    Nov 29, 23 01:15 AM

    2 Tablespoonful of Water
    We will discuss about measuring capacity. The milkman measures milk in liters. Petrol is given in liters. Mobil oil is sold in liters. Two milk bottles contain 1 liter of milk. One milk bottle

    Read More

  2. Addition and Subtraction of Units of Measurement | Metric Units

    Nov 29, 23 12:54 AM

    Addition of Lengths
    We can add the units of measurement like decimal numbers. 1. Add 5 m 9 dm and 11 m and 5 dm Solution: 5 m 9 dm = 5.9 m 11 m 5 dm = 11.5 m Hence, 5 m 9 dm + 11 m 5 dm = 17 m 4 dm or 17.4 m 2. Add 15 cm…

    Read More

  3. 1 to 10 Times Tables | 1 - 10 Times Table Chart |Multiplication Tables

    Nov 29, 23 12:50 AM

    1 to 10 Times Tables
    Memorizing 1 to 10 Times Tables are very important for mental math and quick calculations. Times Tables are used during multiplication and division. Let us learn all the times tables from 1 to 10 to i…

    Read More