Trigonometry

admin

OmniGuru/2020-01-01 13:24:10

The word trigonometry is derived from the Greek words tri = three, gon = sides and metron = measure.

right angle

sin θ = A/H
cos θ = O/H
tan θ = A/O
cosec θ = H/A
sec θ = H/O
cot θ = O/A

Reciprocal Identities
sin θ = $\frac{1}{csc θ}$	csc θ = $\frac{1}{sin θ}$
cos θ = $\frac{1}{sec θ}$	sec θ = $\frac{1}{cos θ}$
tan θ = $\frac{1}{cot θ}$	cot θ = $\frac{1}{tan θ}$

Quotient Identities
tan θ = $\frac{sin θ}{cos θ}$	cot θ = $\frac{cos θ}{sin θ}$

Pythagorean Identities
Sin²θ + Cos²θ = 1
Sec²θ - Tan²θ = 1
Cosec²θ - Cot²θ = 1

Trigonometry Ratios:

Degrees	0⁰	30⁰	45⁰	60⁰	90⁰	180⁰	270⁰	360⁰
Radions	0	π/6	π/4	π/3	π/2	π	3π/2	2π
Sin θ	0	1/2	$\frac{1}{\sqrt{2}}$	$\frac{\sqrt{3}}{2}$	1	0	-1	0
Cos θ	1	$\frac{\sqrt{3}}{2}$	$\frac{1}{\sqrt{2}}$	1/2	0	-1	0	1
Tan θ	0	$\frac{1}{\sqrt{3}}$	1	$\sqrt{3}$	∞	0	∞	0
Cot θ	∞	$\sqrt{3}$	1	$\frac{1}{\sqrt{3}}$	0	∞	0	∞
Sec θ	1	$\frac{2}{\sqrt{3}}$	$\sqrt{2}$	2	∞	-1	∞	1
Cosec θ	∞	2	$\sqrt{2}$	$\frac{2}{\sqrt{3}}$	1	∞	-1	∞

Books

పెద్ద బాలశిక్ష (48) English (19) భక్తి (15) Aptitude (18) ఆరోగ్యం (13) GK (37) జ్యోతిష్యం (8) అందం (5) రాజయోగ (5) Technology (3) సినిమా (2) Startups (1) Sports (2) MISC (4) Tools (23) Writings (1)