Question

Дано :sin a= 0,8 Найти:Cos A, tg a

Answer 1

Ответ:

cos=0,6; tg = 1/3

Объяснение:

всё объяснение на картинке, но мне нужны символы, простите

Answer 2

To find the values of cosine (cos a) and tangent (tan a) when sine (sin a) is given, we can use trigonometric identities.

Given: sin a = 0.8

We know the Pythagorean identity: sin^2 a + cos^2 a = 1

Let's solve for cos a: cos^2 a = 1 - sin^2 a cos^2 a = 1 - (0.8)^2 cos^2 a = 1 - 0.64 cos^2 a = 0.36

Taking the square root of both sides: cos a = √(0.36) cos a = ±0.6

Since the sine is positive (0.8), cosine must also be positive to correspond to an acute angle in the first or second quadrant. So, cos a = 0.6.

Now, to find the tangent (tan a), we can use the definition of tangent as the ratio of sine to cosine: tan a = sin a / cos a tan a = 0.8 / 0.6 tan a = 4/3

So, cos a = 0.6 and tan a = 4/3.