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3 years ago

URGENT! PLEASE HELP!

Mathematics

1 answer:

Darya [45]3 years ago

5 0

Answer:

the answer is x=6 or x=-16

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zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

Use exponents to write each expression. Then evaluate the expression. 3x3x3x3x3

nalin [4]

Step-by-step explanation:

3 to the power of 5

3^5

= 3x3x3x3x3

= 243

5 0

2 years ago

Read 2 more answers

Yo help me out please.

katrin2010 [14]

Answer:

Step-by-step explanation:

-12 = -3/4x + 3

-9 = -3/4x

-9 = (-3/4) times x

-9 = (-3/4) times 12

hope this helps! :)

6 0

3 years ago

A clock is positioned on an auditorium wall with its center 9 ft above the floor. The second hand on the clock is 10 inches long

oee [108]

Answer:

B : y=5/6cos(pi/30x)+9

Step-by-step explanation:

Edge 2020

7 0

3 years ago

Read 2 more answers

Use parentheses to make 5+4×3×3

kherson [118]

The aNSWER IS 41..AM I RIGHT?

3 0

3 years ago

Read 2 more answers