Trigonometrical Ratios
ICSE · Class 9 · Mathematics
Flashcards for Trigonometrical Ratios — ICSE Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
What does the word 'Trigonometry' mean?
Answer
Trigonometry means 'measurement of triangles'. In this chapter, we deal specifically with the relations between sides and angles of right-angled triangles.
In a right-angled triangle with angle A as the reference angle, identify the perpendicular, base, and hypotenuse.
Answer
For angle A: Perpendicular = side opposite to angle A, Base = side adjacent to angle A, Hypotenuse = side opposite to the right angle (longest side).
Define sine (sin) of an angle in a right triangle.
Answer
Sine of an angle = Perpendicular/Hypotenuse. For angle A, sin A = opposite side/hypotenuse. It is a ratio and has no units.
Define cosine (cos) of an angle in a right triangle.
Answer
Cosine of an angle = Base/Hypotenuse. For angle A, cos A = adjacent side/hypotenuse. It is a ratio and has no units.
Define tangent (tan) of an angle in a right triangle.
Answer
Tangent of an angle = Perpendicular/Base. For angle A, tan A = opposite side/adjacent side. It is a ratio and has no units.
Define cotangent (cot) of an angle in a right triangle.
Answer
Cotangent of an angle = Base/Perpendicular. For angle A, cot A = adjacent side/opposite side. It is the reciprocal of tangent.
Define secant (sec) of an angle in a right triangle.
Answer
Secant of an angle = Hypotenuse/Base. For angle A, sec A = hypotenuse/adjacent side. It is the reciprocal of cosine.
Define cosecant (cosec) of an angle in a right triangle.
Answer
Cosecant of an angle = Hypotenuse/Perpendicular. For angle A, cosec A = hypotenuse/opposite side. It is the reciprocal of sine.
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Trigonometrical Ratios covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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