Trigonometry Class 10th

Relation Between Trigonometric Ratios Class 10th

Introduction We know that the reciprocal of sin ϴ, cos ϴ, and tan ϴ is cosec ϴ, sec ϴ, and cot ϴ respectively. Therefore, some formulae are here which show the Relation Between Trigonometric Ratios. Derivation of Formula and Explanation If we assume △PQR,  sin ϴ = PQ/PR    and cosec ϴ = PR/PQ sin ϴ⨯cosec …

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Some Applications of Trigonometry Class 10th

Applications of Trigonometry Introduction There are many applications of trigonometry but we shall study some of them in this section. Trigonometry is used in many different fields such as Astronomy, Navigation, surveying, Periodic functions, Optics, acoustics, etc. Here, we shall use trigonometry to find the Height and Distance of various objects without actually measuring them. …

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Trigonometric Ratios of Complementary Angles Class 10th

Introduction When the sum of two angles is 90° they are called Complementary Angles. If any acute angle is A then its complementary angle will be (90° – A). In a Right-angled triangle, Trigonometric Ratios of Complementary Angles are found as follows. Explanation Let △PQR be a right-angled triangle in which ∠Q is the right …

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Trigonometric Ratios of Some Specific Angles Class 10th

In Trigonometry, For all the trigonometric ratios we will find their values for some specific angles 0°, 30°, 45°, 60°, 90°. Trigonometric Ratios of Angle 0° Let △ABC be a right-angled triangle in which ∠B is the right angle and ∠C is an acute angle ϴ. If the angle ϴ becomes 0° then line segment …

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Trigonometric Ratios of Acute Angles Class 10th

Introduction In a right-angled triangle, the ratio of any two sides is known as Trigonometric Ratios of Acute angles. Each trigonometric function has a different ratio. Base (BC) – Adjacent side of ∠C Perpendicular (AB) – opposite side of ∠C Hypotenuse (AC) – opposite side of ∠B(right angle) In the above right-angled triangle, ∠B is …

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Trigonometry Class 10th

Introduction Trigonometry is a very important and interesting branch of mathematics. The word ‘trigonometry’ is derived from the Greek words ‘tri’ (means three), ‘gon’ (means sides), and ‘metron’ (means measure). It is also said that this word is taken from the Sanskrit language word ‘त्रिकोणमिति’.Trigonometry is the study of relationships between the sides and the …

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