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forsale [732]
2 years ago
9

Tan9 - tan27 - tan63 + tan 81 = ?

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
8 0
Tan9−tan27−tan63−tan81
tan9+tan81−tan27−tan63
sin9/cos9+sin81/cos81−sin27/cos27−sin63/cos63
sin90/cos81cos9−sin90/cos63cos27
1/sin9cos9−1/sin27cos27
2/sin18−2/sin54
(2)sin54−sin18/sin18sin54
4cos36sin18/sin18cos36=4
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J. Reexamine the sequence 20, 14, 8, 2, ... from the problem
DENIUS [597]

Answer:

The n th of the given sequence is t_{n} = 26-6 n

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference isd = second term- first term = 14-20=-6

now the nth term of given sequence is

by using formula t_{n}=a+(n-1)d

t_{n}= 20+(n-1)(-6)

t_{n}= 20-6 n+6

final answer:-

t_{n} = 26-6 n

<u>verification</u>:-

t_{n} = 26-6 n

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

t_{n} = 26-6 n

3 0
3 years ago
The sum of two consecutive integers is 91. Find the integers.
Reil [10]

Answer:

Let the smaller integer be x and greater integer be (x+1)

x+(x+1)=91

2x+1=91

2x=91-1=90

x=90/2

x=45

7 0
1 year ago
Read 2 more answers
What is 45.67 in expanded form? 40+5+0.6+0.07 or 40+0.5+0.06+0.007 or 40+5+0.6+0.007 or 4+5+0.06+0.007?
polet [3.4K]
It's right .
40+5+0.6+0.07

8 0
3 years ago
The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo
tensa zangetsu [6.8K]

Answer:

y = \frac{1}{2}x - \frac{3}{2}

Step-by-step explanation:

The equation of the line WX is, 2x + y = - 5

⇒ y = - 2x - 5 .......... (1)

This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.

Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1

⇒ m =  \frac{1}{2}

{Since the product of slopes of two mutually perpendicular straight line is - 1}

Therefore, the equation of the perpendicular line is

y = \frac{1}{2}x + c, where c is a constant and we have to find it.

This above line passes through the point (-1,-2) and hence

- 2 = \frac{1}{2}(- 1) + c

⇒ c = - \frac{3}{2}

Therefore, the equation of the line will be y = \frac{1}{2}x - \frac{3}{2} (Answer)

4 0
3 years ago
What is the slant height ?
LekaFEV [45]

Answer:

32 or 34 I multiply 18 by 4 to get it

6 0
2 years ago
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