In this article, we shall find values of trigonometric ratios of standard angles in the first and the second quadrants using a standard unit circle. A circle with the centre at the origin and radius 1 is a standard unit circle. Let P(x, y) be any point on the unit circle with m∠ XOP = […]
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Area of Sector
Science > Mathematics > Trigonometry > Angle Measurement > Area of Sector In this article, we shall study to solve problems based on the area of the sector. Example – 01: Find the area of a sector of the circle which subtends an angle of 120° at the centre, if the radius of the circle […]
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Length of an Arc
Science > Mathematics > Trigonometry > Angle Measurement > Length of an Arc In this article, we shall solve problems based on the length of an arc (arc length). Example – 01: Find the length of the arc of a circle of diameter 10 cm, if the arc is subtending an angle of 36° at […]
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Angle Measurement
Science > Mathematics > Trigonometry > Angle Measurement > Angle Measurement In this article, we shall study the problems based on the interior angles of a polygon, and the angle between the hour hand and a minute hand of a clock. Example – 01: If xc = 405° and y° = – (π/12)c. Find x […]
An injunction is an order of the court gives a direction to a party to the litigation to do or to refrain from doing an act. An injunction looks to the future. The order may restrain the defendant by its owners, directors, employees, or solicitors from doing the prohibited act. Injunctions are granted at the […]
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Injunction
An injunction is an order of the court gives a direction to a party to the litigation to do or to refrain from doing an act. An injunction looks to the future. The order may restrain the defendant by its owners, directors, employees, or solicitors from doing the prohibited act. Injunctions are granted at the […]
In this article, we shall study to find the displacement, velocity, and acceleration of a particle, by the calculus method. Example – 01: A particle is moving in such a way that is displacement ’s’ at any time ‘t’ is given by s = 2t2 + 5t +20. Find the velocity and acceleration of the […]
In this article, we shall study the concept of maximum and minimum values of a function using the concept of differentiation. Example – 01: Find the maximum and minimum values of x3 – 12x – 5 Solution: Let ƒ(x) = x3 – 12x – 5 ………….. (1) Differentiating equation (1) w.r.t. x ƒ’(x) = 3×2 […]
In this article, we shall study more examples to find the equation of normal and tangent to a curve at a given point. Example – 12: Find the equation of the tangent and normal to the curve x = sin θ and y = cos 2θ at θ = π/6 Solution: The equation of the […]
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Equations of Tangents and Normals
In this article, we shall study the use of the concept of differentiation to find slope, equation of tangent, and normal. Example – 01: Find the equation of the tangent and normal to the curve y = 3×2 – x + 1 at point P(1, 3) Solution: Equation of curve is y = 3×2 – […]