Question

Find the value of sin2+

1

1+2
​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

The value of the expression

2(cos1

o

+cos2

o

+...+cos44

o

)+1

2(sin1

o

+sin2

o

+sin3

o

+...+sin89

o

)

equals

ANSWER

Consider the numerator

N

r

=2(sin1

0

+sin2

0

+sin3

0

+......+sin89

0

)

⇒N

r

=2[(sin1

0

+sin89

0

)+(sin2

0

+sin88

0

)+.....+(sin44

0

+sin46

0

)+sin45

0

]

We know that sinC+sinD=2sin(

2

C+D

)cos(

2

C−D

)

Using this result we get,

N

r

=2[sin45

0

[2(cos44

0

+cos43

0

+cos42

0

+....cos1

0

)]+1]

⇒

D

r

N

r

=2sin45

0

⇒

D

r

N

r

=

2

Answered By yadavjii 64