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2 years ago

What is wrong with the labels on the kitchen triangle?

Mathematics

1 answer:

dybincka [34]2 years ago

5 0

Answer:

It is an isosceles triangle so the 6 is not correct. We can use the Pythagorean Theorem and 64 does not equal 36+16.

Step-by-step explanation:

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use compound angle formulae to find sin 15 and cos 15 in form of [ surd a (surd b + c) ] . Hence, find tan 15 in the simplest su

inysia [295]

Answer:

see explanation

Step-by-step explanation:

Using the difference formulae for sine and cosine

sin(x - y) = sinxcosy - cosxsiny

cos(x - y) = cosxcosy + sinxsiny

sin15° = sin(45 - 30)°

sin(45 - 30)°

= sin45°cos30° - cos45°sin30°

= $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ - $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$

= $\frac{\sqrt{6} }{4}$ - $\frac{\sqrt{2} }{4}$

= $\frac{\sqrt{6}-\sqrt{2} }{4}$

----------------------------------------------------------------------------------

cos15° = cos(45 - 30)°

cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ + $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$

= $\frac{\sqrt{6} }{4}$ + $\frac{\sqrt{2} }{4}$

= $\frac{\sqrt{6}+\sqrt{2} }{4}$

-------------------------------------------------------------------------------------

tan15° = $\frac{sin15}{cos15}$

= $\frac{\sqrt{6}-\sqrt{2} }{4}$ × $\frac{4}{\sqrt{6}+\sqrt{2} }$

= $\frac{\sqrt{6}-\sqrt{2} }{\sqrt{6}+\sqrt{2} }$

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator, that is ( $\sqrt{6}$ - $\sqrt{2}$ )

= $\frac{(\sqrt{6}-\sqrt{2})^2 }{(\sqrt{6}+\sqrt{2})(\sqrt{6}-\sqrt{2}) }$

= $\frac{6-4\sqrt{3}+2 }{6-2}$

= $\frac{8-4\sqrt{3} }{4}$

= 2 - $\sqrt{3}$

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2 years ago

A=[37], B =[²7], C = [= ² =8].<br> Which matrix represents (A - B) - C?

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1 year ago

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"Find the point of intersection for each system of linear equations. Which method did you use & why?"

lisabon 2012 [21]

Set each equation to get Y by its self
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Easy(:

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3 years ago

Given the function f(x)= x^2 + 3x-4 determine the average rate of change of the function over the interval −8≤x≤−1.

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2 years ago

Which of the following sets of ordered pairs is a function?

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Answer:

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