Question

Косинус а доривнюе 5/13 знайти синус кута а

Answer 1

Ответ:

sin(x)=12/13

Объяснение:

cos(a)=5/13

sin^2(a)+cos^2(a)=1

sin^2(a)=1-(5/13)^2

sin^2(a)=144/169

sin(x)=12/13

Answer 2

To find the sine of angle "a" given that the cosine of angle "a" is 5/13, you can use the Pythagorean trigonometric identity:

sin^2(a) + cos^2(a) = 1

Since we know that cos(a) = 5/13, we can plug it into the identity:

sin^2(a) + (5/13)^2 = 1

Now, let's solve for sin(a):

sin^2(a) = 1 - (5/13)^2 sin^2(a) = 1 - 25/169 sin^2(a) = 144/169

To get the sine of "a," take the square root of both sides:

sin(a) = ± √(144/169)

Since sine is positive in the first and second quadrants of the unit circle, the sine of "a" is positive:

sin(a) = √(144/169) = 12/13

Therefore, the sine of angle "a" is 12/13.