We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
Answer:
6x ² - 10x - 56
Step-by-step explanation:
(3x -7) (2x +8)
To expand this, each term in the first bracket would multiply the other bracket.
3x(2x +8) -7( 2x + 8)
6x ² + 24x - 14x - 56
6x ² + 10x - 56
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Answer:
-52
Step-by-step explanation:
f(-4) = x3 + 3x2 + 2x – 8=
(-4)3+3(-4)2+2(-4)-8=
-12+-24+-8-8=
-52
1Answer: 2 times larger
Step-by-step explanation:
Answer:
221.6
Step-by-step explanation:
The statement above can be expressed as
221 [574/1000]
221.574 [ 5 represent tenth; 7 represent hundredth; 4 represent thousandth]
Hence to the nearest tenth would be;
221.6 [ since 7 is more than 5 we round up to 1 to add up to the preceding number]