Respuesta :
The six trigonometric functions, [tex]\sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}[/tex], [tex]\cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}[/tex],[tex]\tan \dfrac{\pi}{4} =1[/tex], [tex]\cot \dfrac{\pi}{4} =1[/tex], [tex]\sec \dfrac{\pi}{4} =\sqrt{2}[/tex] and [tex]\csc \dfrac{\pi}{4} =\sqrt{2}[/tex].
Step-by-step explanation:
We have,
[tex]\dfrac{\pi}{4}[/tex]
To write the six trigonometric functions = ?
[tex]\sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}[/tex]
[tex]\cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}[/tex]
[tex]\tan \dfrac{\pi}{4} =1[/tex]
[tex]\cot \dfrac{\pi}{4} =1[/tex]
[tex]\sec \dfrac{\pi}{4} =\sqrt{2}[/tex]
[tex]\csc \dfrac{\pi}{4} =\sqrt{2}[/tex]
∴ The six trigonometric functions, [tex]\sin \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}[/tex], [tex]\cos \dfrac{\pi}{4} =\dfrac{1}{\sqrt{2}}[/tex],[tex]\tan \dfrac{\pi}{4} =1[/tex], [tex]\cot \dfrac{\pi}{4} =1[/tex], [tex]\sec \dfrac{\pi}{4} =\sqrt{2}[/tex] and [tex]\csc \dfrac{\pi}{4} =\sqrt{2}[/tex].
