Question

What is sine, cosine and tangent?

Answer 1

Hint: First, we need to analyze the given information which is in the trigonometric form.
The trigonometric functions are useful whenever trigonometric functions are involved in an expression or an equation and these identities are useful whenever expressions involving trigonometric functions need to be simplified.
All the trigonometry values have some relations with each one of them have related to one other.

Complete step by step answer:
The sine, cosine, and tangent are the three primary trigonometry values, which are related to an angle of the right-angled triangle to the ratios of the two sides' length.
The reciprocal of the sine, cosine, and tangent are the secant, cosecant, and cotangent respectively.
Sine function: in the right triangle, the sine function is defined as the ratio of the length of the opposite side to the hypotenuse side.

$\sin \theta = \dfrac{{Opp}}{{Hyp}}$
Cosine function: in the right-angled triangle, the cosine function is defined as the ratio of the length of the adjacent side to that of the hypotenuse side.
$\cos \theta = \dfrac{{Adj}}{{Hyp}}$
Tangent function: in the right-angled triangle, the tangent function is defined as the ratio of the length of the opposite side to that of the adjacent side.
$\cos \theta = \dfrac{{Adj}}{{Hyp}}$
The table of the sine, cosine, and tangent with the angles are represented as

Angles in degrees	${0^0}$	${30^0}$	${45^0}$	${60^0}$	${90^0}$
Sine	$0$	$\dfrac{1}{2}$	$\dfrac{1}{{\sqrt 2 }}$	$\dfrac{{\sqrt 3 }}{2}$	$1$
Cosine	$1$	$\dfrac{{\sqrt 3 }}{2}$	$\dfrac{1}{{\sqrt 2 }}$	$\dfrac{1}{2}$	$0$
Tangent	$0$	$\dfrac{1}{{\sqrt 3 }}$	$1$	$\sqrt 3 $	Not defined

Note:
In total there are six trigonometric values which are sine, cos, tan, sec, cosec, cot while all the values have been relation like $\dfrac{{\sin }}{{\cos }} = \tan $and $\tan = \dfrac{1}{{\cot }}$
Each of the given trigonometry values has the corresponding inverse functions known as the inverse trigonometric.