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.
This is an easy one.
65/5= 13.
Therefore, she descended 13 feet per minute.
In a survey over whom prefers orange juice and whom prefers milk, 7 kids said they liked orange juice, and 5 chose milk.
Hope this helped :)
Mx = (Ax + Bx)/2 My = (Ay + By)
6 = (7 + Bx)/2 5 = (10 + By)/2
12 = 7 + Bx 10 = 10 + By
5 = Bx 0 = By
(5,0)
Monday: 3 1/4 miles
Tuesday: (3 1/4)(2/3) = 2 1/6 miles
Wednesday: (2 1/6)(2) = 4 1/3 miles
Thursday: (4 1/3)(3/4) = 3 1/4 miles
Add them all up: 13 miles
She has not reached her goal, she needs to ride her bike 2 more miles to reach her goal.