1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VashaNatasha [74]
2 years ago
12

Prove that{(tanθ+sinθ)^2-(tanθ-sinθ)^2}^2 =16(tanθ+sinθ)(tanθ-sinθ)

Mathematics
1 answer:
USPshnik [31]2 years ago
5 0

First, expand the terms inside the bracket you will get

(( \tan {}^{2} (x)  + 2 \tan(x)  \sin(x)  +  \sin {}^{2} (x)  - ( \tan {}^{2} (x)  - 2 \tan(x)  +  \sin {}^{2} (x) ) {}^{2}  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

( 4 \tan(x)  \sin(x) ) {}^{2}  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x)  \sin {}^{2} (x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16 \tan {}^{2} (x) (1 -  \cos {}^{2} (x) ) = 16 (\tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16( \tan {}^{2} (x)  -   \frac{  \sin {}^{2} (x) \cos {}^{2} ( {x}^{} )  }{ \cos {}^{2} (x) }

16( \tan {}^{2} (x)  -  \sin {}^{2} (x) ) = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x)  = 16( \tan(x)  +  \sin(x) )( \tan(x)  -  \sin(x) )

You might be interested in
(88÷1×2×5−9)+3×8 what does this make
cupoosta [38]

Answer: 6992

Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)

5 0
2 years ago
<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20-%201" id="TexFormula1" title="y = \frac{1}{2} - 1" alt=
Kitty [74]

Answer:

-0.5

Step-by-step explanation:

1/2 = 0.5

0.5 - 1 = - 0.5

4 0
3 years ago
Will mark brainliest
Varvara68 [4.7K]

Answer: I don’t think u gave enough info

Step-by-step explanation:

3 0
2 years ago
For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The opening of the bottom of the hat was 3
goblinko [34]
Formula
V = (1/3) pi * r^2 h

pi = 3.14
d = 3 cm. (very small)
r = d/2 = 3/2 = 1.5 cm
h = 7 cm

V= (1/3) 3.14 * 1.5^2 * 7
V = 1.04 * 1.5^2 * 7
V = 16.485 cm^3

L <<<<==== answer.
3 0
3 years ago
Read 2 more answers
Help me with this problem please i’m confused
Taya2010 [7]

Answer:

3rd

Step-by-step explanation:

If you know about linear eq. it's just a simple rule no worry

3 0
2 years ago
Other questions:
  • 2x to the second power subtract 9x
    7·2 answers
  • How do you do 18+2x=-8x+6(7+3x)
    8·1 answer
  • The answer as a fraction
    5·1 answer
  • Food pill: $9<br> Sales tax:6%<br> Tip:20%<br><br> Can you help me please
    8·1 answer
  • Solve 5/8-17/8 and show work
    15·1 answer
  • PLEASE HELP ME!!!!!!!!!!!
    6·1 answer
  • What shape is this? I’m so confused and I need to get this done really quickly!
    5·1 answer
  • Write 1.27x 10^-3 as an ordinary number
    11·2 answers
  • Help me with this, pls and thxs.
    6·1 answer
  • Select the correct answer from the drop-down menu
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!