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4. Solve: (5 points)
sin 30^o + cos 45^o =​


Sagot :

Question:

4. Solve: (5 points)

[tex] \sin \: 30^ o \: + \: cos \: 45^o \: = [/tex]

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Answer:

[tex] \frac{1 + \sqrt{2} }{2} \\ [/tex]

[tex] \sf \gray{{alternative \: forms}}[/tex]

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Solution:

[tex] \sf \red{{solving \: steps}}[/tex]

[tex] \sf \gray{{(1)simplify \: trigonometry}}[/tex]

[tex]sin \: (30 ^o) + \cos(45 ^o ) [/tex]

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Evaluate the sin (30°) to 1/2 so

[tex] \frac{1}{2} + \cos(45 ^o ) \\ [/tex]

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[tex] \sf{{evaluate \: the \: \cos(45 ^ o) to \: \sqrt{ \frac{2}{2} } \: so}} \\ [/tex]

[tex] \frac{1}{2} + \sqrt{ \frac{2}{2} } \\ [/tex]

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[tex] \frac{1}{2} + \sqrt{ \frac{2}{2} } \\ [/tex]

Write the numerators over common denominators

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[tex] \frac{1 + \sqrt{2} }{2} \\ [/tex]

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SO THE ANSWER IS

[tex] \frac{1 + \sqrt{2} }{2} \\ [/tex]

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CAN YOU PLEASE APPRECIATE MY ANSWER, THANK YOU! :)