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slavikrds [6]
2 years ago
12

Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

Mathematics
1 answer:
ololo11 [35]2 years ago
4 0

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

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Which set is closed under the operation multiplication?
oee [108]
I have another set of choices here:

A. {0.5, 1, 2} 


B. {1, 2, 4} 


C. {1, 2, 3, 4, 5} 


<span>D. {0} 
</span>
If you multiply two numbers from a closed set the answer is in the set. 
<span>So A is not closed because 2 x 2 = 4 which isn't in the set. Only 0.5, 1, and 2 are in set A. </span>

<span>Try multiplying the largest numbers in sets B, C, and D by themselves. You will soon discover the closed set.</span>
3 0
3 years ago
a car travels along a straight road heading east for one hour, then traveling for 30 minutes on another road that leads northeas
My name is Ann [436]

Answer:

55.96 miles

Step-by-step explanation:

Distance = Speed X time

Car first moved east for 1 hr , distance = 40 x 1 = 40 miles

Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles

From trigonometry,

sin 45 = \frac{y}{20} ; y = 20 sin 45 ; y= 14.14 miles

cos 45 = \frac{x}{20} ; x = 20 cos 45 ; x = 14.14 miles

using Pythagoras theorem;

z^{2} = y^{2} + (40+x)^{2}

    = 14.14^{2} + (40+14.14)^{2}

     = 3131.08

z^{2} = \sqrt{3131.08}

z = 55.96 miles

6 0
3 years ago
Evaluate t Divided 3/4 for T equal 9 3/4
Molodets [167]
T / 3/4 ; t = 9 3/4

9 3/4 / 3/4

9 3/4 = 39/4

39/4 / 3/4
39/4 x 4/3
39 x 4 = 156
4 x 3 = 12
156/12 / 4/4 = 39/3 = 13
7 0
3 years ago
Among 9 electrical components exactly one is known not to function properly. if 4 components are randomly selected, find the pro
seraphim [82]

Answer:

0.4444

Step-by-step explanation:

Use the following property to ease the calculation:

P(At least one)=1-P(None)

Total number of electrical components: 9

Number that does not function well :1

Number that functions well : 8

We have ^8C_4=70 ways to to choose 4 good components from 8.

We have ^9C_4=126 ways to choose 4 components from a total of 9.

If all function properly then none is bad, we ^1C_0=1 way to do this.

P(At least one)=1-\frac{^8C_4*^1C_0}{^9C_4}

P(At least one)=1-\frac{70*1}{126}

P(At least one)=0.4444

4 0
3 years ago
Read 2 more answers
What is 33 percent of 400
bearhunter [10]

Hi there :)


Answer: 33% of 400 is 132.


I found this answer because I multiplied 400 * 3 which equals 13,200.

then I divide 13,200 by 100 and then you will get your answer of 132.


I hope this helps you if you need any help, feel free to message me.


-Wolfs

7 0
3 years ago
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