Math, asked by sreejach03, 3 months ago

Find the value of sin 45 °COS 45°+ V3 sin 60​

Answers

Answered by pooja132454
0

Answer:

2 ....you can see deep explanation in given attachment..

Attachments:
Answered by Anonymous
2

\huge\mathcal{\fbox{\fbox{\pink{ǫᴜᴇsᴛɪᴏɴ}}}}]

ғɪɴᴅ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ sin45°.cos45° + √3sin60°

\huge\mathcal{\fbox{\fbox{\pink{answer}}}}]

 \sf{we \: know : }  \\ \\   \purple{ \sf{sin45 \degree =  \frac{1}{ \sqrt{2} }  }} \\ \\  \purple{\sf{cos45 \degree = \frac{1}{ \sqrt{2} }  }}  \\ \\   \purple{\sf{sin60 \degree =  \frac{ \sqrt{3} }{2} }}

 \sf{sin45 \degree.cos45  \degree +  \sqrt{3}sin60 \degree } \\  \\  \sf{ =  \frac{1}{ \sqrt{2} }  \times  \frac{1}{ \sqrt{2} } +  \sqrt{3}( \frac{ \sqrt{3} }{2}   )} \\  \\  \\  \sf{ =  \frac{1}{( \sqrt{2} ) {}^{2} } +  \frac{(  \sqrt{3} ) {}^{2} }{2}  } \\  \\  \sf{  = \frac{1}{2} +  \frac{3}{2}  } \\  \\  \sf{  = \frac{1 + 3}{2} } \\  \sf{ =  \frac{4}{2} }  \\ \\  \sf{ \underline{ \underline{ \bold{ = 2}}}}

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