Find the value of each of the six trigonometric functions of the angle theta in the figure.
theta
12
6
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Part 1
sine theta equals
  
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
​(Simplify your answer. Use integers or fractions for any numbers in the expression. Type an exact​ answer, using radicals as​ needed.)


To find the values of the six trigonometric functions of the angle \(\theta\), we'll use the given information:

Given that \(\sin(\theta) = \frac{\sqrt{3}}{2}\), this suggests that the angle \(\theta\) is one of the special angles in trigonometry, specifically \( \theta = 60^\circ \) or \( \theta = \frac{\pi}{3} \) radians.

Now, we will find the six trigonometric functions:

1. **Sine**: 
   \[
   \sin(\theta) = \frac{\sqrt{3}}{2}


Learn how to find the values of sine, cosine, tangent, secant, cosecant, and cotangent of angle theta given that sine theta equals sqrt(3)/2. Understand the concept of special angles in trigonometry and their trigonometric functions. Suitable for high school students studying trigonometry.

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