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Author: misamaliraza94

  • How to Find Coterminal Angles?

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    misamaliraza94
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    From the above explanation, for finding the coterminal angles: add or subtract multiples of 360° from the given angle if the angle is in degrees. add or subtract multiples of 2π from the given angle if the angle is in radians. So we actually do not need to use the coterminal angles formula to find…

  • Example

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    misamaliraza94
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    Find two coterminal angles of 30°. Solution: The given angle is, θ = 30° The formula to find the coterminal angles is, θ ± 360n Let us find two coterminal angles. For finding one coterminal angle: n = 1 (anticlockwise) Then the corresponding coterminal angle is, = θ + 360n= 30 + 360 (1)= 390°…

  • Coterminal Angles Formula

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    misamaliraza94
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    The formula to find the coterminal angles of an angle θ depending upon whether it is in terms of degrees or radians is: Degrees: θ ± 360 n Radians: θ ± 2πn In the above formula, θ ± 360n, 360n means a multiple of 360, where n is an integer and it denotes the number of rotations around the coordinate plane.…

  • Coterminal Angles

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    misamaliraza94
    in

    The coterminal angles are the angles that have the same initial side and the same terminal sides. We determine the coterminal angle of a given angle by adding or subtracting 360° or 2π to it. In trigonometry, the coterminal angles have the same values for the functions of sin, cos, and tan. Once you have…

  • Coterminal Angles

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    misamaliraza94
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    In these lessons, we will look at angles at standard position and coterminal angles. An angle is said to be in standard position if it is drawn on the Cartesian plane (x-y plane) on the positive x-axis and turning counter-clockwise (anti-clockwise). The initial side of an angle is the ray where the measurement of an angle starts. The terminal side…

  • Law of Cosines: Given three sides

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    misamaliraza94
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    Example:In triangle ABC, a = 9 cm, b = 10 cm and c = 13 cm. Find the size of the largest angle. Solution:The largest angle is the one facing the longest side, i.e. C. c2 = a2 + b2 – 2ab cos C = 0.067 ∠C = 86.2° How to use the cosine rule?One given SAS and…

  • Law of Cosines / Cosine Rule

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    misamaliraza94
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    In these lessons, we will learn: the Law of Cosines how to use the Law of Cosines when given two sides and an included angle how to use the Law of Cosines when given three sides how to proof the Law of Cosines how to solve applications or word problems using the Law of Cosine…

  • Law of Sines – No Solution

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    misamaliraza94
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    It is also possible that when given SSA, the triangle does not exists and the Law of Sines will indicate no solution. Law of Sine – Ambiguous Case (SSA) – No SolutionWhen given two sides and a non included angle (SSA) in a triangle, this is known as the ambiguous case for Law of Sines.…

  • Law of Sines – Ambiguous Case

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    misamaliraza94
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    We will now consider the situation when we are given two sides and one angle of a triangle. Ambiguous CaseIf you are given two sides and a non-included acute angle and the side facing the given angle is less than the other side, you would obtain two sets of answers. The solution is said to be ambiguous. Example:Solve…

  • Law of Sines: Given Two Angles And One Side

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    misamaliraza94
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    We will first consider the situation when we are given 2 angles and one side of a triangle. Example:Solve triangle PQR in which ∠P = 63.5° and ∠Q = 51.2° and r = 6.3 cm.  Solution:First, calculate the third angle. ∠ R = 180° – 63.5° – 51.2° = 65.3° Next, calculate the sides. ∠ R =…