Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
Answer:
equilateral
Step-by-step explanation:
In an equilateral triangle, all sides and angles are equal.
Answer:
because this is a right triangle, we have''
Step-by-step explanatio
Answer:
D
Step-by-step explanation:
Given that the segment is an angle bisector then the ratio of sides and base are equal, that is
= 
( cross- multiply )
10x = 72 ( divide both sides by 10 )
x = 7.2 → D
The surface area of a rectangular prism is given by
... S = 2(LW +H(L+W))
For your dimensions, the surface area is
... S = 2(3·1 + 2(3+1)) = 2(3 + 8) = 22 . . . ft²
