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topjm [15]
3 years ago
5

80 POINTS Verify the Identity. cot(x-π/2) = -tanx

Mathematics
2 answers:
lions [1.4K]3 years ago
8 0

= cos(x-π/2)/sin(x-π/2)

= (cos(x)cos(π/2) + sin((x)sin(π/2)) / (sin(x)cos(π/2) - cos(x)sin(π/2)

= sin(x)/ (-cos(x)) .... cos(π/2) = 0; sin(π/2) = 1

= -tan(x)

idk if this is right but i tried

vesna_86 [32]3 years ago
3 0

= -tan(x) is the answer :) :)

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Answer:

Step-by-step explanation:

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180-120+39=?

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I need help . This problem is confusing me.<br><br>​
Sholpan [36]

Answer:

The answer is 3093.

3093 (if that series you posted actually does stop at 1875; there were no dots after, right?)

Step-by-step explanation:

We have a finite series.

We know the first term is 48.

We know the last term is 1875.

What are the terms in between?

Since the terms of the series form a geometric sequence, all you have to do to get from one term to another is multiply by the common ratio.

The common ratio be found by choosing a term and dividing that term by it's previous term.

So 120/48=5/2 or 2.5.

The first term of the sequence is 48.

The second term of the sequence is 48(2.5)=120.

The third term of the sequence is 48(2.5)(2.5)=300.

The fourth term of the sequence is 48(2.5)(2.5)(2.5)=750.

The fifth term of the sequence is 48(2.5)(2.5)(2.5)(2.5)=1875.

So we are done because 1875 was the last term.

This just becomes a simple addition problem of:

48+120+300+750+1875

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          1218          +1875

                         3093

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