The Trigonometry Ratios of the angle θ in the triangle APM are defined as follows.

Opposite over Hypotenuse – Sin, Adjacent Over Hypotenuse – Cos, Opposite over Adjacent – Tan, Hypotenuse over Opposite – Cosec, Hypotenuse Over Adjacent – Sec and Adjacent over Opposite – Cotangent,
The ratios defined above are abbreviated as sin θ, cos θ, tan θ, cosec θ, sec θ and cot θ respectively. Note that the ratios cosec θ, sec θ and cot θ are respectively, the reciprocals of the ratios sin θ, cos θ and tan θ. So, the trigonometric ratios of an acute angle in a right triangle express the relationship between the angle and the length of its sides.
Opposite of Sin: Cosecant
Opposite of Cos: Secant
Opposite of Tan: Cotangent
Opposite of Cosecant: Sin
Opposite of Cotangent: Tan
Opposite of Secant: Cosecant
Trig Mnemonics – Some People Have, Curly Black Hair Through Proper Brushing.
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- Sin θ= Perpendicular/ Hypotenuse.
Curly Black Hair is for
Through Proper Brushing is for
- Tan θ= Perpendicular/Base
Trigonometric Ratios of Some Specific Angles
We already know about isosceles right angle triangle and right angle triangle with angles 30º, 60º and 90º.
Can we find sin 30º or tan 60º or cos 45º etc. with the help of these triangles?
Does sin 0º or cos 0º exist?
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Gaurav Seth 4 years, 11 months ago
The Trigonometry Ratios of the angle θ in the triangle APM are defined as follows.

Opposite over Hypotenuse – Sin, Adjacent Over Hypotenuse – Cos, Opposite over Adjacent – Tan, Hypotenuse over Opposite – Cosec, Hypotenuse Over Adjacent – Sec and Adjacent over Opposite – Cotangent,
The ratios defined above are abbreviated as sin θ, cos θ, tan θ, cosec θ, sec θ and cot θ respectively. Note that the ratios cosec θ, sec θ and cot θ are respectively, the reciprocals of the ratios sin θ, cos θ and tan θ. So, the trigonometric ratios of an acute angle in a right triangle express the relationship between the angle and the length of its sides.
Opposite of Sin: Cosecant
Opposite of Cos: Secant
Opposite of Tan: Cotangent
Opposite of Cosecant: Sin
Opposite of Cotangent: Tan
Opposite of Secant: Cosecant
Trig Mnemonics – Some People Have, Curly Black Hair Through Proper Brushing.
Here, Some People Have is for
Curly Black Hair is for
Through Proper Brushing is for
Trigonometric Ratios of Some Specific Angles
We already know about isosceles right angle triangle and right angle triangle with angles 30º, 60º and 90º.
<figure aria-describedby="caption-attachment-76384" id="attachment_76384">Can we find sin 30º or tan 60º or cos 45º etc. with the help of these triangles?
Does sin 0º or cos 0º exist?
T
2Thank You