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3 years ago

Any two points in space lie on one and only one _____.

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer

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Step-by-step explanation:

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Find the value of sin(a/2) if cosa= 12/13

daser333 [38]

Answer: sin $\frac{a}{2}$ = ± $\frac{1}{\sqrt{26} }$

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ± $\sqrt{(1-} \frac{cos2A}{2} )$

As required, set A = $\frac{a}{2}$ & cos a= $\frac{12}{13}$ ,thus we get

sin $\frac{a}{2}$ =± $\sqrt{\frac{1-cos a}{2} }$

∴ sin $\frac{a}{2}$ =± $\sqrt{\frac{1-\frac{12}{13} }{2} }$ = ± $\frac{1}{\sqrt{26} }$

since ,360° < $\frac{a}{2}$ <450°

,180° < $\frac{a}{2}$ <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

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3 years ago

When Jupiter and Earth are closest to each other, they are about 365 million miles apart. Express this distance in scientific no

SCORPION-xisa [38]

3.65 e8

Step-by-step explanation:

The scientific notation e mean ‘10 raised to a particular power’. Therefore e8 is equivalent to 10 ^ 8.

We count the number of tens to the decimal point. In this case;

365000000

3.65000000

The decimal is 8 place values from the right (since this is a whole number)

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Step-by-step explanation:

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x° = 25°

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