Question

Consider the following statements :
1. Value of sin $\theta$ oscillates between -1 and 1.
2. Value of cos $\theta$ oscillates between 0 and 1.
Which of the above statements is/are correct ?

• A. 1 only
• B. 2 only
• C. Both 1 and 2
• D. Neither 1 nor 2

Answer 1

The correct option is A 1 only

Value of $\sin \theta$ and $\cos \theta$ oscillates between -1 and 1

as $(\cos \theta {)}_{min}=-1$ for $\theta =\pi$ and $(\cos \theta {)}_{max}=1$ for $\theta =0$

and $(\sin \theta {)}_{max}=1$ for $\theta =\frac{\pi }{2}$ and $(\sin \theta {)}_{min}=-1$ for $\theta =\frac{3\pi }{2}$

Hence, only statement $1$ is correct.