You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
Answer:
D.
Step-by-step explanation:
that is the answer to the question above
Answer:$32
Step-by-step explanation: So if the double pack of CD's is 20 dollars and that $4 less than 3/4 of the triple pack, then $20 + $4 = $24, then to find how much 1/4 of the cost is we divide 24 by 3, getting $8. Finally we multiple $8 by 4 to get $32, so the cost for a triple pack is $32.
21 3/16...as a decimal
the 21 is a whole number and goes to the left of the decimal....and the fraction 3/16 goes to the right of the decimal.
3/16 = 0.1875....now add ur 21 and u get 21.1875 inches wide
2 3/8....as a decimal
3/8 = 0.375....now put ur 2 in there and it becomes 2.375 inches thick
