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Gelneren [198K]
4 years ago
12

Verify the identity. tan(θ) sin(θ) + cos(θ) = sec(θ)

Mathematics
1 answer:
MariettaO [177]4 years ago
4 0

Step-by-step explanation:

first of all

tan =  \ \frac{ \sin}{ \cos }

put above of equation

(sin/cos)(sin)+cos =sec

sin²/cos +cos=sec

take l.c.m

sin²+cos²/cos=sec

as sin ²+cos²=1 so

1/cos=sec

sec=sec

hence proved

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What are all the real zeros
xeze [42]

For this case we have a function of the form y = f (x), wheref (x) = (x-12) ^ 3-10

To find the real zeros we must equal zero and clear the variable "x".

(x-12) ^ 3-10 = 0

We add 10 to both sides of the equation

(x-12) ^ 3-10 + 10 = 10\\(x-12) ^ 3 = 10

We apply cube root to both sides of the equation:

\sqrt[3]{(x-12)^3} = \sqrt[3] {10}\\x-12 = \sqrt[3] {10}

We add 12 to both sides of the equation:

x-12 + 12 = \sqrt[3] {10} +12\\x = \sqrt[3] {10} +12

Answer:

Option D

5 0
3 years ago
Noah is learning portugese, and he uses flash cards to study vocabulary. For every 5 new flash cards he practices, he reviews 10
tresset_1 [31]
<h3>Answer:  15</h3>

=========================================================

Explanation:

n = number of new flash cards practiced

2n = number of old flash cards practiced

The 2n is due to the fact that the number of old flash cards is double that of the new ones (eg: 10 is twice that of 5).

The two expressions must add to 45.

new + old = total

n + 2n = 45

3n = 45

n = 45/3

n = 15

2n = 2*15 = 30

Noah practiced 15 new flash cards and 30 old flashcards which is a total of 15+30 = 45. This confirms our answer.

Also note that the ratio of new to old is 15:30 which reduces to 1:2, then we can multiply both sides by 5 to get 5:10. This effectively shows that 15:30 and 5:10 are the same equivalent ratio (just in different forms). This helps confirm our answer.

7 0
3 years ago
Write 13/3 as mixers number
leva [86]

Answer:

4 1/3

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest
Mnenie [13.5K]
Basically, 27.7% of 970 is 268.69 grams, if 13 minutes so i’m pretty sure it’s 268.69 X 13 = 3492.97, it cannot be deduced from 970 unless it became −2522.97, is that the answer ur looking for?
6 0
3 years ago
How to solve 11x=2x^2+12 by factoring?
andreyandreev [35.5K]
2x^2-11x+12=0

Slip and slide
x^2-11x+24=0
(x-8)(x-3)
(x-8/2)(x-3/2)
(x-4)(2x-3)

Use ZPP
x-4=0
x=4

2x-3=0
2x=3
x=3/2

Final answer: x=3/2, x= 4
8 0
3 years ago
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