How to use the trig ratios of special angles to find exact values of expressions involving sine, cosine and tangent values of 0, 30, 45, 60 and 90 degrees? example: determine the exact values of each of the following: a) sin30°tan45° tan30°sin60°. b) cos30°sin45° sin30°tan30°. show video lesson. For cos for memorising cos 0°, cos 30°, cos 45°, cos 60° and cos 90° cos is the opposite of sin. we should learn it like cos 0° = sin 90° = 1 cos 30° = sin 60° = √3 2 cos 45° = sin 45° = 1 √2 cos 60° = sin 30° = 1 2 cos 90° = sin 0° = 0 so, for cos, it will be like 1, √3 2, 1 √2, 1 2, 0.
Gcse maths revision tutorial video.for the full list of videos and more revision resources visit mathsgenie.co.uk. The following diagram shows the trig ratios of special angles: 0°, 30°, 45°, 60°, and 90°. scroll down the page for more examples and solutions on the trigonometric ratios. trigonometry trig. ratios for 30 and 60 degrees in this tutorial i show you how we calculate the exact values of sin, cos and tan of 30 and 60 degrees. Learn to find the sine, cosine, and tangent of 45 45 90 triangles and also 30 60 90 triangles. until now, we have used the calculator to evaluate the sine, cosine, and tangent of an angle. however, it is possible to evaluate the trig functions for certain angles without using a calculator. I have noticed that students cannot actually remember values of six trigonometric ratios (sin, cos, tan, cosec, sec and cot) for 0. , 30. , 45. , 60. and 90. these values are used very often and it is recommended from my point of view that student should be able to tell the values instantly when asked. there is a proper method to memorize all.
Learn to find the sine, cosine, and tangent of 45 45 90 triangles and also 30 60 90 triangles. until now, we have used the calculator to evaluate the sine, cosine, and tangent of an angle. however, it is possible to evaluate the trig functions for certain angles without using a calculator. I have noticed that students cannot actually remember values of six trigonometric ratios (sin, cos, tan, cosec, sec and cot) for 0. , 30. , 45. , 60. and 90. these values are used very often and it is recommended from my point of view that student should be able to tell the values instantly when asked. there is a proper method to memorize all. The values of sine and cosine of 30 and 60 degrees are derived by analysis of the equilateral triangle. in an equilateral triangle, the 3 angles are equal and sum to 180°, therefore each corner angle is 60°. bisecting one corner, the special right triangle with angles 30 60 90 is obtained. Exact trigonometric ratios for 0°, 30°, 45°, 60° and 90° the trigonometric ratios for the angles 30°, 45° and 60° can be calculated using two special triangles.
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