Question

The value of sina 60° + cos2 60° is​

Answer 1

Question :-

The Value of sin 60° + cos²60° is -

Answer :-

$\frac{2 \sqrt{3} + 1}{4} \:$

Solution :-

$\implies \: \sin \: 60 \degree + { \cos}^{2} 60 \degree \\ \\ \because \: \sin \: 60 \degree = \frac{ \sqrt{3} }{2} \: \: \cos 60 \degree \: = \frac{1}{2} \\ \\ \implies \: \frac{ \sqrt{3} }{2} + { \bigg( \frac{1}{2} \bigg)}^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{2} + \frac{1}{4} \\ \\ \implies \: \frac{2 \sqrt{3} + 1}{4}$

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Some questions for practice :-

• Find the value of x if sin x + cos x = 1

• Find the value of sin²30° + cos²45°

• Find it , sin²60° + cos90° - cos 45°

• Find it , cos²30° + cos²60° + sin²45°

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