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05 - Trigonometry Problem Solving_3 - Class 10 - Maths Video Lecture

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FAQs on 05 - Trigonometry Problem Solving_3 - Class 10 - Maths Video Lecture

1. What are the basic trigonometric ratios?
Ans. The basic trigonometric ratios are sine, cosine, and tangent. Sine (sin) is the ratio of the length of the side opposite to an angle to the hypotenuse. Cosine (cos) is the ratio of the length of the adjacent side to the hypotenuse. Tangent (tan) is the ratio of the length of the opposite side to the adjacent side.
2. How do you find the value of a trigonometric ratio using a calculator?
Ans. To find the value of a trigonometric ratio using a calculator, you need to enter the angle in degrees or radians (depending on the calculator) and then press the corresponding trigonometric function key (sin, cos, or tan). The calculator will then display the value of the trigonometric ratio.
3. What is the Pythagorean identity in trigonometry?
Ans. The Pythagorean identity in trigonometry is a fundamental equation that relates the three basic trigonometric functions (sin, cos, and tan) with each other. It states that sin^2θ + cos^2θ = 1, where θ is an angle measure.
4. How can trigonometry be applied in real-life situations?
Ans. Trigonometry can be applied in various real-life situations. For example, it is used in architecture and construction to calculate angles and distances, in navigation to determine the position of ships and planes, in physics to analyze waveforms and oscillations, and in astronomy to study the motion of celestial bodies.
5. What is the unit circle in trigonometry?
Ans. The unit circle is a circle with a radius of 1 unit, centered at the origin of a coordinate plane. In trigonometry, the unit circle is used to define the trigonometric functions (sin, cos, and tan) for any angle measure. The coordinates of points on the unit circle correspond to the values of the trigonometric ratios for those angles.
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