Math, asked by jesus39, 11 months ago

sin2 30° - cos260° is​

Answers

Answered by harendrachoubay
1

The value of \sin^{2} 30\degree - \cos^{2} 60\degree is zero(0).

Step-by-step explanation:

We have,

\sin^{2} 30\degree - \cos^{2} 60\degree

[ since, \sin\ 30 =\dfrac{1}{2} and \cos\ 60 =\dfrac{1}{2}]

=(\frac{1}{2} )^{2} - (\frac{1}{2} )^{2}

=\dfrac{1}{4} -\dfrac{1}{4}

= 0

Hence, the value of \sin^{2} 30\degree - \cos^{2} 60\degree is zero

(0).

Answered by gouthamreddy23
0

Step-by-step explanation:

The value of \sin^{2} 30\degree - \cos^{2} 60\degreesin

2

30°−cos

2

60° is zero(0).

Step-by-step explanation:

We have,

\sin^{2} 30\degree - \cos^{2} 60\degreesin

2

30°−cos

2

60°

[ since, \sin\ 30 =\dfrac{1}{2} and \cos\ 60 =\dfrac{1}{2}sin 30=

2

1

andcos 60=

2

1

=(\frac{1}{2} )^{2} - (\frac{1}{2} )^{2}(

2

1

)

2

−(

2

1

)

2

=\dfrac{1}{4} -\dfrac{1}{4}

4

1

4

1

= 0

Hence, the value of \sin^{2} 30\degree - \cos^{2} 60\degreesin

2

30°−cos

2

60° is zero

(0).

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