Answer :
Answer:
Since, the six main trigonometric functions are:
- Sine (sin)
- Cosine (cos)
- Tangent (tan)
- Secant (sec)
- Cosecant (csc)
- Cotangent (cot)
If we have the exact value of any one trigonometric function for a degree then we can find the other function for the same degree as follow.
sin 300° = sin (-60 + 360)° = sin (-60) = - sin 60 = [tex]-\frac{\sqrt{3}}{2}[/tex]
cos 300° = cos (-60 + 360)° = cos (-60) = cos 60 = [tex]\frac{1}{2}[/tex]
tan 300° = [tex]\frac{\sin 300^{\circ}}{\cos 300^{\circ}}=\frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}}=-\sqrt{3}[/tex]
cot 300° = [tex]\frac{1}{\tan 300^{\circ}}=\frac{1}{-\sqrt{3}}=-\frac{1}{\sqrt{3}}=-\frac{\sqrt{3}}{3}[/tex]
sec 300° = [tex]\frac{1}{\cos 300^{\circ}}=\frac{1}{\frac{1}{2}}=2[/tex]
csc 300° = [tex]\frac{1}{\sin 300^{\circ}}=\frac{1}{-\frac{\sqrt{3}}{2}}=-\frac{2}{\sqrt{3}}=-\frac{2\sqrt{3}}{3}[/tex]
Note : sin (-x) = -sin x and cos (-x) = cos x