10:43 docs.google.com $$ \sin 30^{\circ}+\cos 60^{\circ} $$ Your answer Find the exact numerical Value * 20 points $$ \sin 45^{\circ}+\cos 45^{\circ} $$ Your answer Find the exact numerical Value * 20 points $$ an 45^{\circ}+\sin 45^{\circ} $$ Your answer Find the exact numerical Value * 20 points $$ \left( an 60^{\circ} ight)\left( an 30^{\circ} ight) $$ Your answer Find the exact numerical Value * 20 points $$ ! $$ $$ \left(\cos 45^{\circ} ight)^{2} $$

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10:43 docs.google.com $$ \sin 30^{\circ}+\cos 60^{\circ} $$ Your answer Find the exact numerical Value * 20 points $$ \sin 45^{\circ}+\cos 45^{\circ} $$ Your answer Find the exact numerical Value * 20 points $$ 	an 45^{\circ}+\sin 45^{\circ} $$ Your answer Find the exact numerical Value * 20 points $$ \left(	an 60^{\circ}ight)\left(	an 30^{\circ}ight) $$ Your answer Find the exact numerical Value * 20 points $$ ! $$ $$ \left(\cos 45^{\circ}ight)^{2} $$

UpStudy AI · Accepted Answer

Let's calculate each of the trigonometric expressions step by step.

1. **Calculate $$ \sin 30^{\circ} + \cos 60^{\circ} $$**:
   - We know that $$ \sin 30^{\circ} = \frac{1}{2} $$ and $$ \cos 60^{\circ} = \frac{1}{2} $$.
   - Therefore, $$ \sin 30^{\circ} + \cos 60^{\circ} = \frac{1}{2} + \frac{1}{2} = 1 $$.

2. **Calculate $$ \sin 45^{\circ} + \cos 45^{\circ} $$**:
   - We know that $$ \sin 45^{\circ} = \cos 45^{\circ} = \frac{\sqrt{2}}{2} $$.
   - Therefore, $$ \sin 45^{\circ} + \cos 45^{\circ} = \frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2} = \sqrt{2} $$.

3. **Calculate $$ 	an 45^{\circ} + \sin 45^{\circ} $$**:
   - We know that $$ 	an 45^{\circ} = 1 $$ and $$ \sin 45^{\circ} = \frac{\sqrt{2}}{2} $$.
   - Therefore, $$ 	an 45^{\circ} + \sin 45^{\circ} = 1 + \frac{\sqrt{2}}{2} $$.

4. **Calculate $$ \left(	an 60^{\circ}ight)\left(	an 30^{\circ}ight) $$**:
   - We know that $$ 	an 60^{\circ} = \sqrt{3} $$ and $$ 	an 30^{\circ} = \frac{1}{\sqrt{3}} $$.
   - Therefore, $$ \left(	an 60^{\circ}ight)\left(	an 30^{\circ}ight) = \sqrt{3} \cdot \frac{1}{\sqrt{3}} = 1 $$.

5. **Calculate $$ \left(\cos 45^{\circ}ight)^{2} $$**:
   - We know that $$ \cos 45^{\circ} = \frac{\sqrt{2}}{2} $$.
   - Therefore, $$ \left(\cos 45^{\circ}ight)^{2} = \left(\frac{\sqrt{2}}{2}ight)^{2} = \frac{2}{4} = \frac{1}{2} $$.

Now, let's summarize the results:

1. $$ \sin 30^{\circ} + \cos 60^{\circ = 1} $$
2. $$ \sin 45^{\circ} + \cos 45^{\circ} = \sqrt{2} $$
3. $$ 	an 45^{\circ} + \sin 45^{\circ} = 1 + \frac{\sqrt{2}}{2} $$
4. $$ \left(	an 60^{\circ}ight)\left(	an 30^{\circ}ight) = 1 $$
5. $$ \left(\cos 45^{\circ}ight)^{2} = \frac{1}{2} $$
1. $$ \sin 30^{\circ} + \cos 60^{\circ} = 1 $$ 2. $$ \sin 45^{\circ} + \cos 45^{\circ} = \sqrt{2} $$ 3. $$ 	an 45^{\circ} + \sin 45^{\circ} = 1 + \frac{\sqrt{2}}{2} $$ 4. $$ \left(	an 60^{\circ}ight)\left(	an 30^{\circ}ight) = 1 $$ 5. $$ \left(\cos 45^{\circ}ight)^{2} = \frac{1}{2} $$

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Find the exact numerical Value *
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Find the exact numerical Value *
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