Answer:
1) cos (3x)
2)
Step-by-step explanation:
Given expression:
cos(7x)cos(4x)+sin(7x)sin(4x)
By using the trigonometric identity
cos(a)cos(b) + sin(a)sin(b) = cos(a-b)
we have:
cos(7x)cos(4x)+sin(7x)sin(4x) = cos(7x - 4x)
= cos(3x)!
part 2:
tan (-π/12)
by using property tan(-x)= - tan(x)
=-tan(π/12)
= - tan(π/6 / 2)
Using tan(x/2) =
= -
cos π/6 =
= -
= -
= - 2+
=
!
Answer:for the one with 16 is 28 and the one with 7 is 4
Step-by-step explanation:
The given expression is
-2x² + 17 - 15x + 7xy
The algebraic expression may be written as
-2x² + 7xy - 15x + 17
The constant term does not contain either x or y.
Therefore 17 is the constant term.
Answer: 17
Answer:
21.99 units
164.93 units²
Step-by-step explanation:
given radius r = 15 units
angle of sector = 84°
Length of sector = x 2 x π x r
= x 2 x 3.14 x 15
= 21.99 units
Area of sector = x π x r²
= x 3.14 x 15²
= 164.93 units²
Answer:
72m^2
Step-by-step explanation:
first split the figure into 2 parts, the square and the triangle. The area of the sqaure is base times height or 6m times 10m which gives you 60m^2. For the triangle area you multiply base times height and divide it by 2, the base is 6m and the height is 4m so it will be 4x6 divided by 2 which gives you 12m^2. Lastly you add them both up, 60m^2 +12m^2 and you get 72m^2.