Answer:Step 1: Factor both the numerator and the denominator. ...
Step 2: Write as one fraction. ...
Step 3: Simplify the rational expression. ...
Step 4: Multiply any remaining factors in the numerator and/or denominator. ...
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.
Step-by-step explanation:
Answer:
15°F at 3:00 a.m.
Step-by-step explanation:
Answer:
86% of 950 is 817
Step-by-step explanation:
You convert the fraction into a decimal by moving the point two spaces to the left. You then multiply .87 by 950 to get 817
Answer:
a.
<u>cos θ = 2/5, tan θ = ?</u>
- tan θ = sin θ / cos θ
- tan θ = √sin² θ / (2/5)
- tan θ= 5√(1 - cos²θ) / 2
- tan θ = 5√(1 - 4/25) / 2
- tan θ = 5√(21/25) / 2
- tan θ = √21 / 2
b.
<u>cosec θ = 7/3, cos θ = ?</u>
- cosec θ = 1/ sin θ
- cosec θ = 1/ √(1 - cos²θ)
- √(1 - cos²θ) = 1 / cosec θ
- 1 - cos²θ = (1 / (7/3))²
- cos²θ = 1 - 9 / 49
- cos²θ = 40/49
- cos θ = √40/49
- cos θ = 2√10/7
c.
<u>cot θ = 4/3, sec θ = ?</u>
- cot θ = cos θ / sin θ
- cos θ = cot θ * sin θ
- cos θ = 4/3 * √(1 - cos²θ)
- 9cos²θ = 16(1 - cos²θ)
- 25cos²θ = 16
- cos²θ = 16/25
- cos θ √16/25
- cos θ = 4/5
- sec θ = 1/ cos θ
- sec θ = 1/ (4/5)
- sec θ = 5/4
d.
<u>tan θ = 3, cosec θ = ?</u>
- sin²θ + cos²θ = 1
- 1 + cos²θ/sin²θ = 1/ sin²θ
- 1 + 1/tan²θ = cosec²θ
- 1 + 1/9 = cosec²θ
- cosec²θ = 10/9
- cosec θ = √(10/9)
- cosec θ = √10 / 3