Answer:
The correct option is: Option: D
D. sin 60 = √3/2, cos 60 = 1/2, tan 60 = √3
Step-by-step explanation:
We will draw a right angled triangle with one angle as 60° and the length of the side adjacent to 60° be 1 units and let the hypotenuse of the triangle be 2 units.
Then by using Pythagorean Theorem we get the other leg of the triangle i.e. leg opposite to 60° will be of length √3 units.
Since,
[tex]2^2=1^2+b^2\\\\4-1=b^2\\\\\\b^2=3\\\\\\i.e.\\\\\\b=\sqrt{3}\ units[/tex]
We know that in a right angled triangle with one angle as θ, the trignometric ratio corresponding to θ is given by:
[tex]\sin \theta=\dfrac{opposite\ side}{Hypotenuse}\\\\\\\cos \theta=\dfrac{adjacent\ side\ or\ base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{opposite\ side}{adjacent\ side\ i.e.\ base}[/tex]
Hence, we get:
[tex]\sin \theta=\dfrac{\sqrt{3}}{2}\\\\\\\cos \tehta=\dfrac{1}{2}\\\\\\\tan \theta=\sqrt{3}[/tex]
