4 ESO Academics - Unit 07 - Exercises 4.7.2 -Trigonometric Ratios.
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This document contains math exercises involving trigonometric ratios and functions. It includes problems finding the height of an equilateral triangle, calculating trig ratios for various angles in degrees, reducing trig ratios to the first quadrant, and finding equivalent angles with the same trig ratios above and below 360 degrees.
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- 1. UNIT 07 February 1. Find the height of an equilateral triangle of side 5 cm without using Pythagoras´ Theorem. 2. Find 𝜶𝜶 in the first quadrant: 𝒂𝒂) 𝒔𝒔𝒊𝒊 𝒊𝒊 𝜶𝜶 = √𝟑𝟑 𝟐𝟐 𝒃𝒃) 𝒄𝒄𝒐𝒐𝒐𝒐 𝜶𝜶 = 𝟏𝟏 𝟑𝟑 3. Without using calculator, write the sign of the trigonometric ratios of: 𝒂𝒂) 𝟑𝟑𝟏𝟏𝟏𝟏° 𝒃𝒃) 𝟐𝟐𝟐𝟐𝟐𝟐° 𝒄𝒄) 𝟐𝟐𝟕𝟕𝟕𝟕° 𝒅𝒅) 𝟐𝟐𝟗𝟗𝟓𝟓° 𝒆𝒆) 𝟕𝟕𝟎𝟎° 𝒇𝒇)𝟏𝟏𝟓𝟓𝟓𝟓° Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.7.2.1
- 2. UNIT 07 February 4. Reduce the trigonometric ratios to the first quadrant and calculate them: 𝒂𝒂) 𝒔𝒔𝒔𝒔𝒔𝒔 𝟐𝟐𝟐𝟐𝟐𝟐° 𝒃𝒃) 𝒄𝒄𝒐𝒐𝒐𝒐 𝟏𝟏𝟏𝟏𝟏𝟏° 𝒄𝒄) 𝒔𝒔𝒔𝒔𝒔𝒔 𝟑𝟑𝟎𝟎𝟎𝟎° 𝒅𝒅) 𝒄𝒄𝒐𝒐𝒐𝒐 𝟑𝟑𝟏𝟏𝟏𝟏° 5. Calculate the trigonometric ratios of 65°, 155° and 335° knowing that: 𝒔𝒔𝒔𝒔𝒔𝒔 𝟐𝟐𝟐𝟐 ° = 𝟎𝟎. 𝟒𝟒𝟒𝟒 𝒄𝒄𝒐𝒐𝒐𝒐 𝟐𝟐𝟐𝟐° = 𝟎𝟎. 𝟗𝟗𝟗𝟗 𝒕𝒕𝒂𝒂𝒂𝒂 𝟐𝟐𝟓𝟓° = 𝟎𝟎. 𝟒𝟒𝟕𝟕 Axel Cotón Gutiérrez Mathematics 4º ESO Exercises – 4.7.2.2
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