(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)
… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))
… = -1/cos(2<em>x</em>)
Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.
Answer:
A
Step-by-step explanation:
beacause if you try to multiple 4x7.5 divided by 2 try it
Answer:
here is the correct answer
It’s 9. 3x9 is 27. Nothing else times anything equals 27, excluding decimals.
Answer:
Answer: y=2x+13.
Step-by-step explanation:
Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).
The equation of the line in the slope-intercept form is y=5/2−x/2.
The slope of the perpendicular line is negative inverse: m=2.
So, the equation of the perpendicular line is y=2x+a.
To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.
Thus, a=13.
Therefore, the equation of the line is y=2x+13.
Answer: y=2x+13.
