<u>Answer and explanation</u>
(1+sinθ)(1-sinθ)=cos²θ
We are to prove that the left hand side is equal to the right hand side.
(1+sinθ)(1-sinθ) = 1(1-sinθ) + sinθ(1-sinθ)
= 1 - sinθ + sinθ - sin²θ
= 1 - sin²θ
From the trigonometric identity sin²θ + cos²θ = 1,
1 - sin²θ = cos²θ
Answer:
Dividing a power of 4 by 4 is equivalent to ( reducing,) the exponent by (1).
Step-by-step explanation:
Let the power of 4 be 3
4 *4*4
We divide by 4
4*4*4/4 = 4*4 = 4^2
So we removed 1 power
Notice that 3-1 =2
Let 4 be raised to any power
4^a
We divide by 4
4^a/4 we remove 1 of the powers
we are left with
4^(a-1)
So we reduce the exponent by 1
Answer:
y = 32x
We notice that we multiply the number of months by 32
To solve we first need to simplify the equation
3^2 [5 + ( 2 - 4)^2] - 15 is simplified to (3^2)(5 + (2 - 4) ^2] - 15
After you reduce (3^2)(5 + (2 - 4) ^2] - 15 you get 66
The answer is <span>3^2 [5+ (2-4)^2} - 15 = 66
Hope that helps! - Alyssa ;)
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Answer: Additional interest of $521.82 with a simple interest loan to sister generate.
Step-by-step explanation:
Since we have given that
Principal = $28000
Rate of interest at simple interest = 8%
Number of year = 1
so, Interest becomes,
Rate of interest compounded quarterly = 6%
Amount becomes,
So, Interest would be
Hence, Additional interest is given by
Hence, Additional interest of $521.82 with a simple interest loan to sister generate.
