Question

Синус равен 35\37 найти тангенс и косинус ​

Answer 1

Ответ:2+2 и всё

Пошаговое объяснение:

Answer 2

To find the tangent and cosine of an angle, we need to use trigonometric identities. First, let's assume the angle whose sine is 35/37 is denoted by θ.

Given: sin(θ) = 35/37

Now, we can use the Pythagorean identity to find the cosine of θ: sin^2(θ) + cos^2(θ) = 1

cos^2(θ) = 1 - sin^2(θ) cos^2(θ) = 1 - (35/37)^2 cos^2(θ) = 1 - 1225/1369 cos^2(θ) = (1369 - 1225)/1369 cos^2(θ) = 144/1369

cos(θ) = ±√(144/1369) cos(θ) = ±(12/37)

Now, to determine the sign of cos(θ), we need to know in which quadrant θ lies. Since sin(θ) is positive (35/37 is positive) and sin is positive in the first and second quadrants, we conclude that θ is in either the first or second quadrant. In both of these quadrants, the cosine is positive, so we can take the positive value:

cos(θ) = 12/37

Finally, to find the tangent of θ, we can use the tangent identity: tan(θ) = sin(θ) / cos(θ)

tan(θ) = (35/37) / (12/37) tan(θ) = 35/12

So, the tangent of the angle is 35/12 and the cosine of the angle is 12/37.