Trigonometry, ASTC Rule, Basic Mathematics #mathematics #class11 #trigonometry #maths #basicmath #astcrule

  • 3 months ago
Trigonometry, ASTC Rule, Basic Mathematics #mathematics #class11 #trigonometry #maths #basicmath #astcrule


In today's live session, I'll discuss basics mathematics in physics trigonometry part.
trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
Trigonometry Table is a standard table used to find the values of trigonometric ratios for standard angles such as 0°, 30°, 45°, 60°, 90°.
The trigonometric table consists of values of trigonometric ratios – sine, cosine, tangent, cosecant, secant, and cotangent for different standard angles. Basic Formulas; Reciprocal Identities; Trigonometry Table ; sin θ = Opposite Side/Hypotenuse; cos θ = Adjacent Side/Hypotenuse; tan θ = Opposite Side/Adjacent .

ASTC rule. Concept of cofunction formulas is based on the trigonometric quadrant table. It follows the ASTC rule, which stands for the “all sin cos tan” rule. It tells which trigonometric ratios are positive in any given quadrant. ASTC stands for all, sin, tan, cos. This rule indicates the positivity of a particular trigonometric function on a particular quadrant as per the following table. In quadrant 3, only tangent and cotangent are positive based on ASTC. Sine in quadrant 3 is negative, therefore we have to make sure that our newly converted trig function is also negative (i.e. cos θ). Our final answer is as follows: sin (270° - θ) = - cos θ.
Basic Trigonometric Function Formulas
sin θ = Opposite Side/Hypotenuse.
cos θ = Adjacent Side/Hypotenuse.
tan θ = Opposite Side/Adjacent Side.
sec θ = Hypotenuse/Adjacent Side.
cosec θ = Hypotenuse/Opposite Side.
cot θ = Adjacent Side/Opposite Side.
Trigonometric Identities are the identities for trigonometry functions that are true for all the values of variables.


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