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timurjin [86]
3 years ago
11

What is the solution for the equation sinx=cosx?

Mathematics
1 answer:
viva [34]3 years ago
4 0
Complementary angles their sin and cos equal
Thus,
x+x=90
2x=90
x=45 degrees
You might be interested in
what is the equation, in slope- intercept form, of the line that contains the points (-3,4) and (5,7)
gavmur [86]

Answer:

y = \frac{3}{8} x + \frac{41}{8}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

To calculate the slope use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (5, 7)

m = \frac{7-4}{5+3} = \frac{3}{8}, hence

y = \frac{3}{8} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (5, 7 ), then

7 = \frac{15}{8} + c ⇒ c = 7 - \frac{15}{8} = \frac{41}{8}

y = \frac{3}{8} x + \frac{41}{8} ← equation in slope-intercept form


6 0
3 years ago
In Colorado Springs, a local newspaper ran a full page of nearly 100 mug shots of people the police wanted to arrest for serious
wolverine [178]

Answer:

86% probability. hope this helps :)

Step-by-step explanation:

7 0
3 years ago
The period of a function is 4 pi how many cycles of the function occur in a horizontal length of 12 pi
eduard

Answer:

3 cycles

Step-by-step explanation:

in one period, you have one full cycle

because the period for this function is 4pi, you have one cycle per 4pi

if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)

hope this helps!

3 0
3 years ago
Read 2 more answers
Factor the expression completely -7r-35x
bogdanovich [222]

7 is the most common in this expression.

therefore to factorise, you will choose the most common factor.

the answer will be -7(r+5x)

7 0
3 years ago
An anatomy model of an adult human is 7 inches tall. Most adult humans are between 5 feet and 6 feet tall. What is the approxima
anyanavicka [17]

Answer:

9.42857142857 inches = 1 inch

Step-by-step explanation:

12 inches in a foot

12 × 5.5 = 66

66 / 7 = 9.42857142857

3 0
3 years ago
Read 2 more answers
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