(sinx + cosx)^2/((sinx)(cosx)) = 2 + (secx)(cscx)
<span>(sinx + cosx)^2/((sinx)(cosx)) = 2 + 1/(sinxcosx); subtract 1/sinxcosx both sides </span>
<span>(sinx + cosx)^2/((sinx)(cosx)) - 1/(sinxcosx)= 2; multiply through by sinxcosx </span>
<span>(sinx + cosx)^2 -1 = 2(sinxcosx) </span>
<span>sin^2 + 2sinxcosx + cos^2 - 1 = 2(sinxcosx); since sin^x + cos^2x = 1 </span>
<span>1 + 2sinxcosx -1 = 2sinxcosx </span>
<span>2sinxcosx = 2sinxcosx</span>
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (3, 0) ← 2 points on the line
m =
= - 
The line crosses the y- axis at (0, 1), thus y- intercept is 1
Answer:
88 problems
Step-by-step explanation:
Set this problem up as fractions
86/x = 98/100
Cross multiply
86 × 100 = x × 98
8600 = 98x
Divide both sides by 98
87.75... = x
Round to nearest whole number
87.75 rounds up to 88
88 problems
Answer:
Step-by-step explanation:
120