Math, asked by vaibhavi18aug, 6 months ago

Find the value of
Sin² 60°+cos²45°

Answers

Answered by Anonymous
1

Answer:

sin 60 =  \sqrt{3} /2

cos 45 =  \sqrt{2} /2

=sin²60+cos²45

=(root 3/2)² + (root2/2)²

=3/4+2/4

=5/4

here's your answer

hope it helps ☺️.........

Answered by MoodyCloud
4

 \tt \:\frac{5}{4}

Step-by-step explanation:

To find :-

  • Value of Sin² 60°+cos²45°

SolutioN:-

✤ sin 60° = √3/2

✤ cos 45° = 1/√2

Put the values in Sin² 60°+cos²45°

 \implies \tt \: {[\frac{√3}{2}]}^2\: +\:{[\frac{1}{√2}]}^2

 \implies \tt \:\frac{3}{4}\: +\:\frac{1}{2}

 \implies \tt \:\frac{3 + 2}{4}

 \implies \tt \:\frac{5}{4}

Therefore,

Sin² 60°+cos²45°  \implies \tt \:\frac{5}{4}

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