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21 Ιαν 2015 · Name: WORKSHEET: The Six Trigonometric Functions For 1 – 3, Evaluate the six trigonometric functions of the angle θ. 1. 2. 3. For 4 – 6, find the missing side lengths x and y. 4. 5. 6. For 7 – 14, use a calculator to evaluate the trigonometric function to four decimal places. 7. cos 27° 8. tan 5° 9. sin 48° 10. cot 81°
Trigonometric Ratios. Ensure you have: Pencil or pen. Guidance. Read each question carefully before you begin answering it. Check your answers seem right. Always show your workings. Revision for this topic. www.corbettmaths.com/more/further-maths/ 1. Angle θ is obtuse and sinθ = 5. 4. Work out the value of cosθ. ....................... (4) 2.
Trigonometric ratios provide relationships between the sides and angles of a right angle triangle. The three most commonly used ratios are: = RECIPROCAL RATIOS. To get the reciprocal of a number, just divide 1 by the number. Example: the reciprocal of 2 is 1/2 (half) Every number has a reciprocal except 0 (1/0 is undefined)
Real-life examples of trigonometric ratio include areas such as astronomy, geodesy, surveying, and navigation. Download Trigonometric Ratios Worksheet PDFs. These math worksheets should be practiced regularly and are free to download in PDF formats.
Examples: Find the exact values of the following trig ratios: 1. cos 5π 6 2. sin 4π 3 Ask yourself: • quadrant? • anglefromx-axis? • ± CAST? • value of ratio? 3. tan 3π 4 4. sin 11π 6 5. tan −π 4 6. cos −2π 3 82
The Six Trigonometric Ratios. The Three Primary Trigonometric Ratios. Sine Ratio. Cosine Ratio. Tangent Ratio. sin = h. cos = h. tan θ = The Three Reciprocal Trigonometric Ratios. 1. Cosecant Ratio. sin = cos = . tan = The cosecant ratio is the reciprocal of the. csc. h = csc. = 2. Secant Ratio. sine ratio. csc. 1. = sin.
Graph points A(1, 1), B(5, 3), and C( 7 , 1 ). What kind of triangle is ABC ? Find sin A and sin C. 10. A line segment has endpoints A ( 4 , 2) and B ( 0, 6). AB is reflected in the y-axis. Find the sine of A in ABA . A A. [2] B.
