Evaluate sin^2(30°) + cos^2(30°): animated lesson

1. 1. The problem
   Worked example

   ${\sin\left(\frac{30\cdot\pi}{180}\right)}^{2}+{\cos\left(\frac{30\cdot\pi}{180}\right)}^{2}$
2. 2. Step by step
   1. $${\sin\left(\frac{30\cdot\pi}{180}\right)}^{2}+{\cos\left(\frac{30\cdot\pi}{180}\right)}^{2}$$
      Read the expression
   2. $${\sin\left(\frac{30\cdot\pi}{180}\right)}^{2}+{\cos\left(\frac{30\cdot\pi}{180}\right)}^{2} = {\sin\left(\frac{\pi}{6}\right)}^{2}+{\cos\left(\frac{\pi}{6}\right)}^{2}$$
      Simplify exactly
   3. $${\sin\left(\frac{30\cdot\pi}{180}\right)}^{2}+{\cos\left(\frac{30\cdot\pi}{180}\right)}^{2} = 1$$
      Evaluate using the order of operations (parentheses, exponents, multiplication and division, addition and subtraction)
3. 3. The answer
   $$1$$

   sin^2((30*pi/180)) + cos^2((30*pi/180)) = 1

4. 4. Check
   • ✓Decimal value: 1

Exact values of sine, cosine, tangent and their reciprocals and inverses.

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