Step 1: Find the value of sin(a):
Given cisa = √10/4, we can use the Pythagorean identity sin^2(a) + cos^2(a) = 1 to find sin(a).
cos(a) = √1 - sin^2(a) = √1 - (√10/4)^2cos(a) = √1 - 10/16cos(a) = √6/4
Step 2: Find sin(a + Π):
sin(a + Π) = sin(a)cos(Π) + cos(a)sin(Π)
Since cos(Π) = -1 and sin(Π) = 0:sin(a + Π) = sin(a)(-1) + cos(a)(0)sin(a + Π) = -sin(a) = -√6/4
Step 3: Multiply by √10:
√10 ctg(a) sin(a + Π) = √10 ctg(a) (-√6/4)√10 ctg(a) sin(a + Π) = -√60/4√10 ctg(a) sin(a + Π) = -√15
Step 1: Find the value of sin(a):
Given cisa = √10/4, we can use the Pythagorean identity sin^2(a) + cos^2(a) = 1 to find sin(a).
cos(a) = √1 - sin^2(a) = √1 - (√10/4)^2
cos(a) = √1 - 10/16
cos(a) = √6/4
Step 2: Find sin(a + Π):
sin(a + Π) = sin(a)cos(Π) + cos(a)sin(Π)
Since cos(Π) = -1 and sin(Π) = 0:
sin(a + Π) = sin(a)(-1) + cos(a)(0)
sin(a + Π) = -sin(a) = -√6/4
Step 3: Multiply by √10:
√10 ctg(a) sin(a + Π) = √10 ctg(a) (-√6/4)
√10 ctg(a) sin(a + Π) = -√60/4
√10 ctg(a) sin(a + Π) = -√15