Math, asked by pateldhiraj220306, 6 months ago

evaluate cos²30°+sin²45°-1/3tan²60°
plz it is urgent for 50 points ​

Answers

Answered by daksh10677
1

Answer:

here is your answer bro

Attachments:
Answered by viratdhoni187
6

Step-by-step explanation:

 =  \frac{ {cos}^{2}30 +  {sin}^{2} 45 - 1 }{3 {tan}^{2}60 }  \\  \\  =  \frac{( { \frac{ \sqrt{3} }{2} })^{2}  +  {( \frac{1}{ \sqrt{2} } })^{2} - 1 }{3 {( \sqrt{3} })^{2} }  \\  \\  =  \frac{ \frac{3}{4}  +  \frac{1}{2}  - 1}{3(3)}  \\  \\  =  \frac{ \frac{3}{4} +  \frac{2}{4}  - 1 }{9}  \\  \\  =  \frac{ \frac{5}{4} - 1 }{9}  \\  \\  =  \frac{ \frac{5 - 4}{4} }{9}  \\  \\  =  \frac{ \frac{1}{4} }{9}  \\  \\  =  \frac{1}{9 \times 4}  \\  \\  =  \frac{1}{36}

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