Final answer:
To solve the equation cos t < 1/2√3, we can use the unit circle and the properties of cosine. The solutions are t = 60 degrees + 360n and t = 300 degrees + 360n, where n is an integer.
Step-by-step explanation:
To find the solutions of cos t < 1/2√3, we need to find the values of t between 0 and 360 degrees where cos t is less than 1/2√3. To solve the equation cos t < 1/2√3, we can use the unit circle and the properties of cosine. The solutions are t = 60 degrees + 360n and t = 300 degrees + 360n, where n is an integer.
We can use the unit circle and the properties of cosine to solve this. From the unit circle, we know that cos t equals 1/2 when t = 60 degrees and t = 300 degrees. Therefore, any angle between 60 and 300 degrees where cos t is less than 1/2√3 will satisfy the equation.
So, the solutions are t = 60 degrees + 360n and t = 300 degrees + 360n, where n is an integer.