(Note->here A =theta)
Sin 44+Sin A=Cos30,
Sin (44+A)=Cos (90-30),
Sin (44+A)=Sin60,
( identity-->Cos (90-A)=SinA),
44+A=60,
A=60-44=16

To find the value of theta in which Sin 44 degree plus sin.theta is equals to cos. 30 degree, we will use the trigonometric identities.


Sine and Cosine are two of the six trigonometric functions that are used to relate the angles and sides of a right-angled triangle. The following are the sine and cosine identities that we will use to solve this problem:

- sin (a + b) = sin a cos b + cos a sin b
- sin (a - b) = sin a cos b - cos a sin b
- cos (a + b) = cos a cos b - sin a sin b
- cos (a - b) = cos a cos b + sin a sin b


Given, Sin 44 degree + sin.theta = cos. 30 degree

Using the sine and cosine identities mentioned above, we can rewrite the given equation as:

sin (44 + theta) = cos (90 - 30) = cos 60 = 1/2

Now, we will use the inverse sine function to find the value of theta:

sin^-1 (sin (44 + theta)) = sin^-1 (1/2)

44 + theta = 30 or 150

Therefore, the possible values of theta are:

- theta = 30 - 44 = -14
- theta = 150 - 44 = 106

However, we know that the range of sine function is between -1 and 1. Therefore, the value of theta cannot be negative. Therefore, the only possible value of theta is:

- theta = 106


The value of theta in which Sin 44 degree plus sin.theta is equals to cos. 30 degree is 106 degrees.