75DEGREES= 30DEGREES+25DEGREES
FIND THE SIN, COSINE, AND TANGENT
To find the sine, cosine, and tangent of the given angle, we can use the trigonometric ratios of a right triangle.
First, let's convert the degrees into radians since trigonometric functions typically use radians as the input.
Given: 75 degrees
To convert degrees to radians, we can use the following formula:
radians = (degrees * π) / 180
So, for 75 degrees:
radians = (75 * π) / 180
Now we can calculate the sine, cosine, and tangent using the radians value.
1. Sine (sinθ):
Sinθ = Opposite / Hypotenuse
Since we don't have a specific triangle or side lengths provided, we can use the unit circle to determine the sine value of 75 degrees.
On the unit circle, sinθ represents the y-coordinate of the point corresponding to the angle θ.
2. Cosine (cosθ):
Cosθ = Adjacent / Hypotenuse
Again, without a specific triangle or side lengths, we can use the unit circle to determine the cosine value of 75 degrees.
On the unit circle, cosθ represents the x-coordinate of the point corresponding to the angle θ.
3. Tangent (tanθ):
Tanθ = Opposite / Adjacent
Similarly, using the unit circle, we can determine the tangent value of 75 degrees.
On the unit circle, tanθ represents the y-coordinate divided by the x-coordinate of the point corresponding to the angle θ.
Please note that without specific side lengths, we cannot provide exact numerical values for sin(75°), cos(75°), or tan(75°). However, you can use the above explanations to find the ratios accurately when specific side lengths are given.