Question

For which angle $\theta$, the value of $sin\theta$ and $cos\theta$ remains the same?

• A. ${60}^{\circ }$
• B. ${90}^{\circ }$
• C. ${45}^{\circ }$
• D. $0^{\circ }$

Answer 1

The correct option is C ${45}^{\circ }$

The values are:

• $sin{60}^{\circ }=\frac{\sqrt{3}}{2},cos{60}^{\circ }=\frac{1}{2}$
• $sin{90}^{\circ }=1,cos{90}^{\circ }=0$
• $sin{45}^{\circ }=\frac{1}{\sqrt{2}},cos{45}^{\circ }=\frac{1}{\sqrt{2}}$
• $sin{0}^{\circ }=0,cos{0}^{\circ }=1$

When $\theta ={45}^{\circ }$, the values of $sin\theta$ and $cos\theta$ remains the same.