Question

Sin2 30° + cos2 45°+ cos2 30°

Answer 1

Step-by-step explanation:

thats the answer

hope it helps you

Answer 2

sin² 30° + cos² 45° + cos² 30° = 3/2

Given :

The expression sin² 30° + cos² 45° + cos² 30°

To find :

Value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

sin² 30° + cos² 45° + cos² 30°

Step 2 of 2 :

Find the value of the expression

sin² 30° + cos² 45° + cos² 30°

$\displaystyle \sf{ = {\bigg( \frac{1}{2} \bigg)}^{2} + {\bigg( \frac{1}{ \sqrt{2} } \bigg)}^{2} + {\bigg( \frac{ \sqrt{3} }{2} \bigg)}^{2} }$

$\displaystyle \sf{ = \frac{1}{4} + \frac{1}{2} + \frac{3}{4} }$

$\displaystyle \sf{ = \frac{1 + 2 + 3}{4} }$

$\displaystyle \sf{ = \frac{6}{4} }$

$\displaystyle \sf{ = \frac{3}{2} }$

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