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:
x = ±6
Step-by-step explanation:
Step 1: Write out equation
x² + 7 = 43
Step 2: Subtract 7 on both sides
x² = 36
Step 3: Square root both sides
√x² = √36
x = ±6
Answer:
x=12 .
Step-by-step explanation:
See image below:)
Yes you are correct! It doesn't have a solution which means no solution, hope this helps! :D
Answer:
Negative thirty
Step-by-step explanation:
