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3 years ago

How does tan 135 degrees compare to tan -135 degrees

1 answer:

3 0

Evaluating the tangent function for the two values we obtain the following:
tan 135=tan(135+180)=tan 315=-1

next:
tan -135=tan(180-135)=tan 45=1
thus comparing the two we see that tan 135 is negative while tan -135 is positive

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Find the limit of the function by using direct substitution.

serg [7]

Answer:

Option a.

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

Step-by-step explanation:

You have the following limit:

$\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}$

The method of direct substitution consists of substituting the value of $\frac{\pi}{2}$ in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing $x=\frac{\pi}{2}$

Therefore:

$\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}$

$cos(\frac{\pi}{2})=0\\$

By definition, any number raised to exponent 0 is equal to 1

$\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\$

$\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1$

Finally

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

6 0

3 years ago

What is the halfway fraction between 3/5 and 7/10

Dmitry [639]

The answer is 13/20. So 3/5 is equal to 6/10 so you're looking for the fraction that's half of 7/10 and 6/10 which is 6.5/10 but you can't use decimals in a fraction so you multiply both sides by 10 which would equal 65/100 and simply, and that would be 13/20.

7 0

3 years ago

Solve the equation for the given variable. *<br> 3(x - 5) = 7

MariettaO [177]

Answer:

x = 7.33

Step-by-step explanation:

3x - 15 = 7

3x = 7 + 15

3x = 22

x = 7.33

4 0

3 years ago

Amelia used 1/7 of an ounce of butter to make 1/4 of a pound of Jello. How many ounces of butter are needed to make 1 pound of J

son4ous [18]

Answer:

4/7

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Translate the sentence into an equation.

Dmitriy789 [7]

Answer:

I think it could be 8+6+y

Step-by-step explanation: I dont really know but dont delete this. Can I be Brainlyest please?

5 0

2 years ago