Step-by-step explanation:
To prove :
( 1 - sin x ) ( 1 + sin x ) = sec² x
LHS : -
( 1 - sin x ) ( 1 + sin x )
Formula / Identity : -
( a - b ) ( a + b ) = a² - b²
Here,
a = 1
b = sin x
( 1 - sin x ) ( 1 + sin x )
= 1 - sin² x
Identify : -
sin² θ + cos² θ = 1
cos² θ = 1 - sin² θ
Similarly,
1 - sin² x
= cos² x
= RHS
Hence verified.
Answer:
Option C
Step-by-step explanation:
The given inequality is
5x-1 < 19 and 
Group similar terms to get:
5x < 19+1 and 
5x < 20 and 
Solve for x to get:
x < 4 and 
The correct choice is C
The first one is 44%
The second one is 25%
-10/7
1) -5/7 ➗2/4
2) -5/7 • 4/2
You change the second fraction into a reciprocal, then multiply
Answer:
x = 162
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the interior angles of the quadrilateral and equate to 360
90 + 60 + x + 48 = 360 , that is
198 + x = 360 ( subtract 198 from both sides )
x = 162
