Find the square roots of all and then if the inequalities are true then choose the best answer
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
Answer:
or
Step-by-step explanation:
Step 1: Use quadratic formula with a=1, b=9, c=2.
or
(Ignore the Â)
The marked up price is $126. $134.82-126 =$8.82(The sales tax) :)
Answer: The correct option is tan(F).
Explanation:
In the given figure the triangle is a right angle triangle because .
It is also given that and .
Since it is an isosceles right angle triangle, therefore the value of perpendicular and base is same for both angles D and F, which is 5.
The value of cos(F) is .
The value of sin(F) is .
The value of sin(D) is .
The value of tan(F) is 1. Which is not equal to .
The value of cos(D) is .
Therefore, the value of tan(F) is not equal to the value of cos(F), so the correct option is third.