Ratios on a scaled terminal ray
Ratios on a scaled terminal ray
5 marks
TGM Original
The terminal ray of an angle theta passes through P(18,-24). Find all six trigonometric ratios of theta, stating any that are undefined. A second point is Q(-3,4). Explain whether it defines the same terminal ray, and compare the sine, cosine and tangent values.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:\(\sin\theta=- \dfrac{4}{5}\); \(\cos\theta=\dfrac{3}{5}\); \(\tan\theta=- \dfrac{4}{3}\); \(\operatorname{cosec}\theta=- \dfrac{5}{4}\); \(\sec\theta=\dfrac{5}{3}\); \(\cot\theta=- \dfrac{3}{4}\). Opposite rays; sine and cosine change sign, tangent is unchanged.
Need help? Join our JC Math tuition classes.
Learn more