Question

how can I find the value of Sin 74​

Answer 1

Explanation:

in74° = 0.96126

sin 74° = 0.96126

sin 74 degrees = 0.96126

The sin of 74 degrees is 0.96126, the same as sin of 74 degrees in radians. To obtain 74 degrees in radian multiply 74° by π / 180° = 37/90 π. Sin 74degrees = sin (37/90 × π).

Our results of sin74° have been rounded to five decimal places. If you want sine 74° with higher accuracy, then use the calculator below; our tool displays ten decimal places.

To calculate sin 74 degrees insert the angle 74 in the field labelled °, but if you want to calculate sin 74 in radians, then you have to press the swap unit button first.

Calculate sin [degrees]

° :

Insert angle

value :

The result is...

Besides sin74°, similar trigonometric calculations on our site include, but are not limited, to:

Sin 198°

Sin 148°

Sin 570°

The identities of sine 74° are as follows:

sin74°

= cos (90°-74°) = cos 16°

= sin (180°-74°) = sin 106°

-sin74°

= cos (90°+74°) = cos 164°

= sin (180°+74°) = sin 254°

Note that sin74° is periodic: sin (74° + n × 360°) = sin 74 degrees, nεZ.

There are more formulas for the double angle (2 × 74°), half angle ((74/2)°) as well as the sum, difference and products of two angles such as 74° and β.

You can locate all of them in the respective article found in the header menu. To find everything about sin -74° click the link. And here is all about cos 74°, including, for instance, a converter.

Note that you can locate many terms including the sine74° value using the search form. On mobile devices you can find it by scrolling down. Enter, for instance, value of sin74°.

Along the same lines, using the aforementioned form, can you look up terms such as sin 74° value, sin 74, sin74° value and what is the sin of 74 degrees, just to name a few.

Given the periodic property of sine of 74°, to determine the sine of an angle > 360°, e.g. 794°, calculate sin 794° as sin (794 Mod 360)° = sine of 74°, or look it up with our form.

The frequently asked questions in the context include what is sin 74 degrees and what is the sin of 74 degrees for example; reading our content they are no-brainers.

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Answer 2

Answer:

Required value is $\frac{24}{25}$

Explanation:

Here we have to find value of

$\sin(74)$

Here we can apply formula of Sin(A+B)

We know,

$sin(A+B)=SinAcosB+sinBcosA$

Here,

$74 = 37 + 37$

$\sin(74) = \sin(37) \cos(37) + \sin(37) \cos(37) ........(1)$

We know,

$\sin(37) = \frac{3}{5}$

From (1),

$\sin(74) = \frac{3}{5} \times \frac{4}{5} + \frac{4}{5} \times \frac{3}{5} = \frac{12}{25} + \frac{12}{25} = \frac{2 \times 12}{25} = \frac{24}{25}$

We know,

$\sin(37) = \frac{3}{5}$

$\cos(37) = \frac{4}{5}$

Required value is $\frac{24}{25}$