Math, asked by im123maryam, 1 month ago

(cos 0° + sin 45° + sin 30°) (sin 90°
- cos 45º + cos 60°)​

Answers

Answered by Anonymous
0

Answer:

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Step-by-step explanation:

cos0

o

+sin45

o

+sin30

o

)(sin90

o

−cos45

o

+cos60

o

)

=(1+

2

1

+

2

1

)(1−

2

1

+

2

1

)

=(1+

2

1

+

2

1

)(1+

2

1

2

1

)

=(

2

3

+

2

1

)(

2

3

2

1

)

=(

2

3

)

2

−(

2

1

)

2

=

4

9

2

1

=

4

7

Answered by aadya4836
8

Answer:

 \cos(0)  +  \sin(45)  +  \sin(30)  \times  \sin(90)  -  \cos(45)  +  \cos(60)

(1 +  \frac{1}{ \sqrt{2} }  +  \frac{1}{2} )(1 -  \frac{1}{ \sqrt{2} }  +   \frac{1}{2} ) \\  \\  =  \frac{2 \sqrt{2 }  + 2 +  \sqrt{2} }{2 \sqrt{2} } \times  \frac{2 \sqrt{2}  - 2 +  \sqrt{2} }{2 \sqrt{2} }  \\  \\  =  \frac{3 \sqrt{2 } + 2 }{2 \sqrt{2} }  \times  \frac{3 \sqrt{2} - 2 }{2 \sqrt{2} }  \\  \\  =   \frac{18 - 4}{2 \sqrt{2}  \times 2 \sqrt{2} }   \\  \\  =  \frac{14}{8}  \\  \\  =  \frac{7}{4}

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