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4 years ago

For what numbers theta is f(theta)=cot(theta) not defined?

1 answer:

4 0

As cosec theeta is inverse of sin theeta:
So
cscθ = 1/sinθ
and sinθ = 0 when θ = {0.pi,and 2pi} 
 when θ = 0.pi,and 2pi.

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6 6/9 divided by 1 5/7

makvit [3.9K]

Exact Form:
28/9
Decimal Form:
3.1
Mixed Number Form:
3 1/9

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3 years ago

Which expression is equivalent to the expression 5(3x+4-x)

Artyom0805 [142]

(5)(3x)+(5)(4)+(5)(-x)
15x+20-5x
Answer: 10x+20

3 0

3 years ago

What is the value of this expression when x=-1 and Y = 2? 4x3y2

3241004551 [841]

-48 plugging in everything and using PEMDAS it should be -48

8 0

3 years ago

Read 2 more answers

Any help is useful Equilateral triangle with a side of 16mm and was 155 mm long

zmey [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

4 0

3 years ago