Trigonometry Formula PDF Download (त्रिकोणमिति सूत्र) Trigonometry Chart, Sheet
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Trigonometry Formula
- Changes Between Angles
- Some Important Facts
- If (x+y) = 90*
- If (A+B+C) = 180*
- Maximum & Minimum Values
- Trigonometric Values
- Number System (संख्या पद्धति) Formulas
Trigonometry Formula PDF
Download Trigonometry Cheat Sheet PDF
Trigonometry All Formula
The Reciprocal Identities are given as:
- cosec θ = 1/sin θ
- sec θ = 1/cos θ
- cot θ = 1/tan θ
- sin θ = 1/cosec θ
- cos θ = 1/sec θ
- tan θ = 1/cot θ
These formulas are used to shift the angles by π/2, π, 2π, etc. They are also called cofunction identities.
- sin (π/2 – A) = cos A & cos (π/2 – A) = sin A
- sin (π/2 + A) = cos A & cos (π/2 + A) = – sin A
- sin (3π/2 – A) = – cos A & cos (3π/2 – A) = – sin A
- sin (3π/2 + A) = – cos A & cos (3π/2 + A) = sin A
- sin (π – A) = sin A & cos (π – A) = – cos A
- sin (π + A) = – sin A & cos (π + A) = – cos A
- sin (2π – A) = – sin A & cos (2π – A) = cos A
- sin (2π + A) = sin A & cos (2π + A) = cos A
The cofunction or periodic identities can also be represented in degrees as:
- sin(90°−x) = cos x
- cos(90°−x) = sin x
- tan(90°−x) = cot x
- cot(90°−x) = tan x
- sec(90°−x) = cos x
- cec(90°−x) = sec x
- sin(x+y) = sin(x)cos(y)+cos(x)sin(y)
- cos(x+y) = cos(x)cos(y)–sin(x)sin(y)
- tan(x+y) = (tan x + tan y)/ (1−tan x •tan y)
- sin(x–y) = sin(x)cos(y)–cos(x)sin(y)
- cos(x–y) = cos(x)cos(y) + sin(x)sin(y)
- tan(x−y) = (tan x–tan y)/ (1+tan x • tan y)
- sin(2x) = 2sin(x) • cos(x) = [2tan x/(1+tan2 x)]
- cos(2x) = cos2(x)–sin2(x) = [(1-tan2 x)/(1+tan2 x)]
- cos(2x) = 2cos2(x)−1 = 1–2sin2(x)
- tan(2x) = [2tan(x)]/ [1−tan2(x)]
- sec (2x) = sec2 x/(2-sec2 x)
- csc (2x) = (sec x. csc x)/2
- Sin 3x = 3sin x – 4sin3x
- Cos 3x = 4cos3x-3cos x
- Tan 3x = [3tanx-tan3x]/[1-3tan2x]
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