Answer:
Below
Step-by-step explanation:
sin(2x) = 2 ×cos(x)× sin(x)
● sin(x) = 2 × cos(x) × sin(x)
● 2 × cos(x) = 1
● cos (x) = 1/2
So we can deduce that:
● x = Pi/3 + 2*k*Pi
● or x = -Pi/3 + 2*k*Pi
K is an integer
Answer:
m = -32.10
Step-by-step explanation:
You solve this the same way you do any two-step linear equation.
1. Subtract the constant that is on the side of the equal sign with the variable term:
m/5 = -6.42
2. Multiply by the inverse of the coefficient of the variable. That means multiply by 5 in this case.
m = 5·(-6.42) = -32.10
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Of course, the rules of equality tell you whatever you do to one side of the equation must also be done to the other side. So, when we say subtract 0.12, we mean subtract 0.12 from both sides of the equation. The same for multiplication or division.
The first one is correct.
Step-by-step explanation:
this is solutions of your questions
Answer:
(1)


(2)


Step-by-step explanation:
Solving (1):
Considering

We have:

This gives:

Solve for a


So:


To solve for b, we make use of Pythagoras theorem

This gives



Collect like terms

Take LCM and solve


Take square roots

Solving (2):
Considering

We have:

This gives:

Solve for a


So:



To solve for b, we make use of Pythagoras theorem

This gives


Collect like terms


Take square roots
