Answer:
1. Cosθ / SineθCosθ
2. Sineθ / Cos²θSineθ
3. Cosθ / Sineθ
4. Cos²θ + Sin²θ – Sin²θ
Step-by-step explanation:
1. SecθCotθ
Recall
Sec θ = 1/Cos θ
Cot θ = 1/Tan θ
But Tan θ = Sine θ / Cos θ
Thus,
Cot θ = 1 ÷ Sine θ / Cos θ
Cot θ = 1 × Cos θ / Sine θ
Cot θ = Cos θ / Sine θ
Therefore,
SecθCotθ = 1/Cos θ × Cos θ / Sine θ
SecθCotθ = Cosθ / SineθCosθ
2. SecθTanθCscθ
Recall
Sec θ = 1/Cos θ
Tan θ = Sine θ / Cos θ
Csc θ = 1/Sine θ
Thus,
SecθTanθCscθ =
1/Cosθ × Sineθ/Cosθ × 1/Sineθ
= Sineθ / Cos²θSineθ
3. Cscθ/Secθ
Recall
Csc θ = 1/Sine θ
Sec θ = 1/Cos θ
Thus,
Cscθ/Secθ = 1/Sine θ ÷ 1/Cos θ
= 1/Sine θ × Cos θ
= Cosθ / Sineθ
4. Cosθ / Secθ
Recall
Sec θ = 1/Cos θ
Cosθ / Secθ = Cosθ ÷ 1/Cosθ
= Cosθ × Cosθ
= Cos²θ
Recall
Cos²θ + Sin²θ = 1
Cos²θ = 1 – Sin²θ
But
1 = Cos²θ + Sin²θ
Thus,
Cos²θ = Cos²θ + Sin²θ – Sin²θ
Therefore,
Cosθ / Secθ = Cos²θ + Sin²θ – Sin²θ
The answer is 192 book. the reason why is because if you have 12 books each in 16 rows, you would like to MULTIPLY to find out how much in total. so
1
12
×16
---
72
+120
-------
192 books
Answer:
X=90
Step-by-step explanation:
x=90 because it is a right angle.
hope that helps!
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
A volume that is 16 ft by 18 ft by 1/3 ft will be ...
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
96 cubic feet of concrete are needed.
Answer:
(4, 4)
Step-by-step explanation:
Coordinates of a point (x, y) after dilation with a scale factor k,
Rule to be followed,
(x, y) → k(x, y)
→ (kx, ky)
Coordinates of point T are (8, 8).
Dilation of the point T after dilation with a scale factor of 
will be,
(8, 8) → 
→ (4, 4)
Therefore, coordinates of the image point B' will be (4, 4).
