sin (x) = -1
arcsin (-1) = x
x = -90
and multiples of 360
x =-90, 270,....
x =-90 + 360n where n is an integer
or in radians
-pi/2 + 2*pi *n where n is an integer
Answer:
y = 15x + 20 or 15x - y + 20 = 0
x = 11
Step-by-step explanation:
Line is passing through the points (0, 20) & (2, 50)
Slope of line = (50 - 20)/(2 - 0) = 30/2 = 15
Equation of line
y - 20 = 15(x - 0)
y - 20 = 15x
y = 15x + 20 or 15x - y + 20 = 0
Plug y = 185 in above equation, we find:
185 = 15x + 20
185 - 20 = 15x
165 = 15x
x = 165/15
x = 11
Answer:
64.3333333333
Step-by-step explanation:
Simplify the expression. Tap for more steps... Rewrite 64 64 as 43 4 3 .
Answer:
6(d-5)
Step-by-step explanation:
i think this must be the equation
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
