Questions and solution based on Trigonometric functions on specific values by Uday Sir
Автор: Career Education Academy
Загружено: 2026-01-12
Просмотров: 29
Описание:
Trigonometric functions are the mathematical tools used to connect the angles of a triangle with the lengths of its sides. While there are six main functions, they are all derived from the same three sides: the Perpendicular (P), the Base (B), and the Hypotenuse (H).
1. The Primary Functions
These are the three fundamental ratios you will use most often.
Function Abbreviation Ratio Formula Memory Trick (SOH-CAH-TOA)
Sine \sin \theta \frac{\text{Perpendicular}}{\text{Hypotenuse}} Sine = Opposite / Hypotenuse
Cosine \cos \theta \frac{\text{Base}}{\text{Hypotenuse}} Cosine = Adjacent / Hypotenuse
Tangent \tan \theta \frac{\text{Perpendicular}}{\text{Base}} Tangent = Opposite / Adjacent
Note: "Opposite" is another word for Perpendicular, and "Adjacent" is another word for Base.
2. The Reciprocal Functions
Each primary function has a "partner" function that is simply its flipped (reciprocal) version.
Important Relationships
Beyond the basic ratios, these functions interact in specific ways that are vital for solving higher-level problems:
The Quotient Identity
Tangent can also be found by dividing Sine by Cosine:
Helpful Mnemonics
If "SOH CAH TOA" doesn't stick, many students use this sentence to remember the ratios for Sine, Cosine, and Tangent (in that order):
"Some People Have, Curly Brown Hair, Turn Permanently Black."
(Sin = P/H, Cos = B/H, Tan = P/B)
#Trigonometry
#Class10Maths
#CBSE
#PythagorasTheorem
#PythagoreanTriplets
#MathsBasics
#UdaySir
#TrigRatios
#RightAngleTriangle
#NCERT
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