Math, asked by pbstate52727, 1 year ago

sin15°×cos75°+cos^2 15°​

Answers

Answered by Narutsu
10

 \sin(15)  \times  \cos(75)  +  { \cos(15) }^{2}

 =  \sin(15)  \times  \cos(90 - 15)  +  { \cos(15) }^{2}

 =  \sin(15)  \times  \sin(15)  +  { \cos(15) }^{2}

 =  { \sin(15) }^{2}  +  { \cos(15) }^{2}

 = 1

Answered by as9099401
4

Answer:

1

Step-by-step explanation:

Sin15×sin(90-75)×cos²15

=sin15.sin15+cos²15

=sin²15+cos²15

=1

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