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2 years ago

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Zoom in if u have too

1 answer:

Rainbow [258]2 years ago

6 0

Its small i cant read it

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Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

2 years ago

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You can spend no more than $100 on a party you are hosting. The cost per guest is $8. What is the greatest number of guests that

spayn [35]

Answer:

the greatest number of guests is 12 guests

Step-by-step explanation:

100÷8=12.5

3 0

2 years ago

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Between which two numbers will you find -3.25?

Vinil7 [7]

Answer:

A

Step-by-step explanation:

hope it helps

6 0

2 years ago

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Triangle ABC is similar to triangle DEF.

amid [387]

Answer:

1.5

Step-by-step explanation:

12 / 8 = 1.5

8 0

2 years ago

Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the

GalinKa [24]

Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).

3 0

2 years ago