1. given:
csc(x) + sin(x)
2. definition of csc(x) :
1/sin(x) + sin(x)
3. combining fractions with a common denominator:
(1 + sin²(x))/sin(x)
4. expanding 1 = cos²(x) + sin²(x) :
(cos²(x) + sin²(x) + sin²(x))/sin(x)
5. simplifying:
(2 sin²(x) + cos²(x))/sin(x)
6. employing the same identity as in (4) :
(2 (1 - cos²(x)) + cos²(x))/sin(x)
7. expanding 2 (1 - cos²(x)) :
(2 - 2 cos²(x) + cos²(x))/sin(x)
8. simplifying:
(2 - cos²(x))/sin(x)
Answer:
all real numbers less than or equal to -4
Step-by-step explanation:
most of the numbers are negative less are positive
i need more information to help you better.
Answer:
1. (3/2)
2. (20)
3. (3)
4. (-9/5)
5. (-8/7)
6. (-2/3), (4)
Step-by-step explanation:
1. 2. 3. 4.
x 3 12 3 x 1 x + 3 3
/ = / / = / / = / / = /
4 8 x 5 9 x 2 5
8x = 12 60 = 3x x² = 9 5x + 15 = 6
÷8 ÷8 ÷3 ÷3 x = √9 -15 -15
5x = -9
x = (3/2) x = 20 x = 3 ÷5 ÷5
x = (-9/5)
5. 6.
4 - x 3 1 x - 3
/ = / / = /
12 7 2x + 1 9
28 - 7x = 36 9 = 2x^2 - 5x - 3
-28 -28 + 3 + 3
12 = 2x^2 - 5x
-7x = 8 -12 -12
÷-7 ÷-7
2x^2 - 5x - 12 = 0
x = (-8/7)
-b +-√b^2 - 4ac
/ = -(-5)√-5^2 - 4 (2)(-12)
2a /
2(2)
= 5-+√121 5 - 11 -6
/ = / = / = (-2/3)
-4 4 4
= 5 + 11 16
/ = / = (4)
4 4
I hope this helps!
Answer:
A rotation, then a dilation
Step-by-step explanation:
When two triangles are congruent, the three sides and angles will be the same.
A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure.
Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.
Hola!
A rational number could range from 10.21 to 10.2001
Hope that helped :)
