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Nana76 [90]
3 years ago
7

1. Prove that 2 tan x / 2- sec^2 x = tan 2x.

Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Use trig identities:

1

+

tan

2

x

=

1

cos

2

x

=

sec

2

x

(

1

−

tan

x

)

=

1

+

tan

2

x

−

2

tan

x

=

sec

2

x

−

2

tan

x

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TEA [102]

Answer:

See explanation below

Step-by-step explanation:

Find the value of x in each of the following

1) x-1+5√x-1+3=0

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Square both sides

25(x-1) = (-x-2)^2

25(x-1) = x^2+4x + 4

25x-25 = x^2+4x + 4

x^2 +4x + 4 - 25x + 25 = 0

x^2 - 21x + 29 = 0

x = 21±√21²-4(29)/2

x = 21±√441-116/2

x = 21±√325/2

x = 21±18.03/2

x = 21+18.03/2 and 21-18.03/2

x = 19.515 and 1.485

4)  x^4-64=0

x^4 = 64

x = \sqrt[4]{64}

x = 2.83

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