Math, asked by ShubhamPanchal2809, 8 months ago

value of sin2π/3+cos3π​

Answers

Answered by umiko28
4

Answer:

\huge\underline{ \underline{ \red{your \: \: answer}}}

Step-by-step explanation:

 \sf\green{Π = 180} \\ </p><p> \sf\green{ \frac{ \frac{sin2Π}{3} }{cos3Π}  =?}  \\  \sf\green{ =  &gt;  \frac{ \frac{sin2 \times 180°}{3} }{cos \: 3 \times 180°} } \\  \sf\green{ =  &gt;  \frac{sin120°}{cos \: 540°} } \\  \sf\green{ =  &gt;  \frac{sin \: (1 \times 90° + 30°)}{cos(6 \times 90° + 0°)} } \\  \sf\green{ =  &gt;  \frac{cos \: 30°}{  -  cos \: 0} } \\  \sf\green{ =  &gt;  \frac{ \frac{  \sqrt{3}  }{2} }{ - 1} } \\  \sf\green{ =  &gt;  \frac{ -  \sqrt{3} }{2} }

\large\boxed{ \fcolorbox{red}{pink}{hope \: it \: help \: you}}

Answered by chawlachawla1100
5

Answer:

Π=180

</p><p>

cos3Π

3

sin2Π

=?

=>

cos3×180°

3

sin2×180°

=>

cos540°

sin120°

=>

cos(6×90°+0°)

sin(1×90°+30°)

=>

−cos0

cos30°

=>

−1

2

3

=>

2

3

hope it helps sir

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