Answer:
θ = 2 π n_1 + π/2 for n_1 element Z or θ = 2 π n_2 for n_2 element Z
Step-by-step explanation:
Solve for θ:
cos(θ) + sin(θ) = 1
cos(θ) + sin(θ) = sqrt(2) (cos(θ)/sqrt(2) + sin(θ)/sqrt(2)) = sqrt(2) (sin(π/4) cos(θ) + cos(π/4) sin(θ)) = sqrt(2) sin(θ + π/4):
sqrt(2) sin(θ + π/4) = 1
Divide both sides by sqrt(2):
sin(θ + π/4) = 1/sqrt(2)
Take the inverse sine of both sides:
θ + π/4 = 2 π n_1 + (3 π)/4 for n_1 element Z
or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z
Subtract π/4 from both sides:
θ = 2 π n_1 + π/2 for n_1 element Z
or θ + π/4 = 2 π n_2 + π/4 for n_2 element Z
Subtract π/4 from both sides:
Answer: θ = 2 π n_1 + π/2 for n_1 element Z
or θ = 2 π n_2 for n_2 element Z
So first find a common denominator which is 100 in this question. Then change 5/10 into a denominator of 100 which is 50/100 you don't have to change 9/100 because it has a denominator of 100. So then add the fractions and the answer is 59/100
Answer:
Step-by-step explanation:
since its only 2/5 of 1 hour, two 2/5 equal 4/5 so we divide the 12 2/3 by 2 to find the 1/5 which is 6 1/3
÷2=
Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
Required
The point where the trestle gets to the ground level
To do this, we set 
So, we have:
Multiply through by -1
Solve using quadratic formula:
Where:
So, we have:
Solve the fraction
Split
