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vitfil [10]
3 years ago
12

What is the step by step of 1/ cos x csc^2 x = sin x/ cot x

Mathematics
1 answer:
Effectus [21]3 years ago
7 0

Answer:

what is the step by step of 1/ cos x csc^2 x = sin x/ cot x

Step-by-step explanation:

1

.

csc

x

=

1

sin

x

2

.

cot

x

=

cos

x

sin

x

Given,

1

−

cos

x

sin

x

=

csc

x

−

cot

x

Simplify the right side.

csc

x

−

cot

x

=

1

sin

x

−

cos

x

sin

x

=

1

−

cos

x

sin

x

∴

, LS

=

RS.

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Your answer is 1/5 Hope this helps :D

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3 years ago
How do you solve this equation?
Travka [436]
Exponentail thingies

easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0

now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero

5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1


5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4

x=log₅1 and/or log₅4







second quesiton

same thing

1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero

2^x-8=9
2^x=8
x=3

2^x-2=0
2^x=2
x=1

x=3 or 1







first one
x=log₅1 and/or log₅4
second one
x=1 and/or 3


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3 years ago
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