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ICE Princess25 [194]
3 years ago
12

Cos^2 θ (1 + tan^2 θ) = 1 I need to know all the steps for verifying the identity

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
7 0
Cos²Ф(1+tan²Ф) = 1

We know that (1+tan²Ф) = 1/cos²Ф

Plug in: cos²Ф(1/cos²Ф) = 1
You might be interested in
Line a is parallel to line b, m∠1=2x +44, and m∠5x+38. Find the value of x.
Soloha48 [4]

2x + 44 = 5x + 38
5x - 2x = 3x
44 = 3x + 38
44 - 38 = 6
6 = 3x
2 = x

5 0
3 years ago
If you know this, please help, thank you if so
s2008m [1.1K]
The answer is 8/27 just so you know
6 0
4 years ago
the performing arts department put in its spring show on Friday and Saturday nights. the price of a ticket was the same both nig
Galina-37 [17]
Let p= the price of a ticket
Let c= the cost to put on the show

Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:
500=120p-c
400=100p-c
Solve:
100=20p
⇒p=5
⇒400=100(5)-c
⇒400=500-c
⇒c=100

So the price of a ticket is $5, and the cost to put on the show is $100.
3 0
3 years ago
Check My answers!! Algebra
9966 [12]
1.) 4 - t = 3(t - 1) - 5
4 - t = 3t - 3 - 5
4 - t = 3t - 8
3t + t = 4 + 8
4t = 12
t = 12/4 = 3

2.) 8x - 2(x + 1) = 2(3x - 1)
8x - 2x - 2 = 6x - 2
6x - 2 = 6x - 2
0 = 0
solution is identity.

3.) 3(c - 2) = 2(c - 6)
3c - 6 = 2c - 12
3c - 2c = -12 + 6
c = -6

4.) 0.5(m + 4) = 3(m - 1)
0.5m + 2 = 3m - 3
3m - 0.5m = 2 + 3
2.5m = 5
m = 5/2.5 = 2
m = 2
5 0
3 years ago
Evaluate 5xyz + 3y for x=2.5, y=12, and z=4
Reika [66]

Answer:

636

Step-by-step explanation:

5xyz+3y

5(2.5)(12)(4)+3(12)

(12.5)(48)+36

600+36

636

8 0
3 years ago
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