Tricks to remember Trigonometric Values Video Lecture | Mathematics (Maths) Class 10

Ans. The trigonometric values of 30 degrees are: - sine (sin): 1/2 - cosine (cos): √3/2 - tangent (tan): 1/√3 - cosecant (csc): 2 - secant (sec): 2/√3 - cotangent (cot): √3

Ans. To remember the values of sine and cosine for special angles, you can use the acronym "SOHCAHTOA". - Sine (sin) is equal to the ratio of the opposite side to the hypotenuse. - Cosine (cos) is equal to the ratio of the adjacent side to the hypotenuse. Using this acronym, you can remember that for a 30-60-90 triangle, the sine of 30 degrees is 1/2 and the cosine of 30 degrees is √3/2. Similarly, for a 45-45-90 triangle, the sine and cosine of 45 degrees are both 1/√2.

Ans. The values of tangent (tan), cosecant (csc), secant (sec), and cotangent (cot) can be found using the reciprocal relationships of sine (sin) and cosine (cos). - Tangent (tan) is equal to the ratio of sine to cosine: tan = sin/cos. - Cosecant (csc) is equal to the reciprocal of sine: csc = 1/sin. - Secant (sec) is equal to the reciprocal of cosine: sec = 1/cos. - Cotangent (cot) is equal to the reciprocal of tangent: cot = 1/tan. By substituting the values of sine and cosine for the given angle, you can calculate the values of tangent, cosecant, secant, and cotangent.

Ans. Yes, apart from the acronym "SOHCAHTOA", there are other methods to remember trigonometric values. Some common methods include: - Using the unit circle: The unit circle is a circle with a radius of 1, and the coordinates of its points can be used to determine the trigonometric values for different angles. - Using the periodicity of trigonometric functions: Trigonometric functions have periodicity, meaning that their values repeat after certain intervals. By understanding the patterns of these functions, you can remember their values for different angles. - Memorization techniques: Some people find it helpful to use mnemonic devices or memory tricks to remember the values of trigonometric functions. For example, creating acronyms, visualizations, or rhymes can aid in memorization.

Ans. Yes, calculators can be used to find trigonometric values. Most scientific calculators have built-in functions for sine, cosine, tangent, cosecant, secant, and cotangent. Simply enter the angle in degrees or radians and press the corresponding trigonometric function key to obtain the value. However, it is still important to understand the concepts and relationships behind these values, as calculators may not always be available or allowed during exams or real-life applications.