<\/span><\/h3>\nTo find the value of sin 70, we can use a scientific calculator or trigonometric tables. However, it’s also useful to understand how to calculate it manually using a unit circle. The unit circle is a circle with a radius of 1 unit, with its center at the origin of a coordinate plane. By placing an angle “x” in standard position, we can identify the coordinates (x, y) of the unit circle that correspond to that angle.<\/p>\n
To find the value of sin 70 using a unit circle, follow these steps:<\/p>\n
Step 1:<\/strong> Start with an angle of 70 degrees.<\/p>\nStep 2:<\/strong> Convert the angle from degrees to radians. Multiply the angle by \u03c0\/180 to get the value in radians. In this case, 70 x (\u03c0\/180) = \u03c0\/9. <\/p>\nStep 3:<\/strong> Locate the angle \u03c0\/9 on the unit circle. When the angle is in standard position (starting from the positive X-axis), \u03c0\/9 corresponds to the point (cos(\u03c0\/9), sin(\u03c0\/9)).<\/p>\nStep 4:<\/strong> Determine the y-coordinate of the point on the unit circle. This y-coordinate represents the sin value of the angle. For sin 70, the y-coordinate of (cos(\u03c0\/9), sin(\u03c0\/9)) gives the answer.<\/p>\n