Question

the value of theta for which sin(44degree+ theta)=cos 30degree​

Answer 1

Answer:

$\red {Value \: of \: \theta} \green{= 16\degree }$

Step-by-step explanation:

$sin(44+\theta) = cos30$

$\implies sin(44+\theta) = cos(90-60)$

$\implies sin(44+\theta) = sin60$

$\implies 44+\theta = 60$

$\implies \theta = 60 - 44 = 16$

Therefore.,

$\red {Value \: of \: \theta} \green{= 16\degree}$

•••♪

Answer 2

The value of $\theta$ = 16°

Given:

sin (44° + $\theta$) = cos 30°

To find:

Value of $\theta$

Explanation:

sin (44° + $\theta$) = cos 30°

Using the properties of trigonometry,

cos ($\theta$) = sin (90 - $\theta$)°

cos (30) = sin(90 - 30)

sin (44° + $\theta$) = sin (90 - 30)

sin (44° + $\theta$) = sin(60)

Remove "sin" from both side, we get

44 + $\theta$ = 60  

$\theta$ = 60-44

$\theta$ = 16°

Therefore, the value of $\theta$ is 16°.

Note : If we hurry in exam and did not read the question properly and we take "sin" instead of "cos" and we end up with wrong answer so don't panic in exam.

To learn more...

1. Difference between plane trigonometry and spherical trigonometry

brainly.in/question/1971602

2. Formulas of trigonometry class 10

brainly.in/question/5286586