Math, asked by atharvlodhi, 1 year ago

a sin x + b cos x =??​

Answers

Answered by muskan241325
1

heyyy this is ur ans sinx /cos x = tan x hope it help. u


atharvlodhi: you just get the hell outta here
Answered by pranay2020
0

Explanation:

a

sin

x

+

b

cos

x

=

c

.

Dividing each term by

a

2

+

b

2

, we get the given equation

a

a

2

+

b

2

sin

x

+

b

a

2

+

b

2

cos

x

=

c

a

2

+

b

2

Now for solving such equation, assuming

cos

α

=

b

a

2

+

b

2

and

sin

α

=

a

a

2

+

b

2

.

Observe that it is compatible as

cos

2

α

+

sin

2

α

=

1

and

tan

α

=

a

b

or

α

=

tan

1

(

a

b

)

and then the given equation becomes

cos

x

cos

α

+

sin

x

sin

α

=

c

a

2

+

b

2

or

cos

(

x

α

)

=

c

a

2

+

b

2

and hence

x

α

=

2

n

π

±

cos

1

(

c

a

2

+

b

2

)

and

x

=

2

n

π

±

cos

1

(

c

a

2

+

b

2

)

+

α

or

x

=

2

n

π

±

cos

1

(

c

a

2

+

b

2

)

+

tan

1

(

a

b

)


muskan241325: really
muskan241325: cbse hai kya
atharvlodhi: yeah
muskan241325: but mai to aisa nhi padha
atharvlodhi: i am a student of viii going to 9th
muskan241325: oh ok
muskan241325: oh ok byyy
atharvlodhi: maine bhi aisa khud se padha hai school se nahi
muskan241325: oh nice keep it up very inteligent
muskan241325: mujhe to kuch samjha nhi
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