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stepan [7]
3 years ago
5

Evaluate the six trigonometric functions of the angle 0

Mathematics
1 answer:
Alla [95]3 years ago
7 0

# Sin θ = 9/15.

# Cos θ = 12/15.

# Cosec θ = 15/9.

# Sec θ = 5/4

Step-by-step explanation:

by \: using \: pythagorian \: triplets

{a}^{2}  +  {b}^{2}  =  {c}^{2}

{9}^{2}  +  {12}^{2}  =  {c}^{2}

81 + 144 =  {c}^{2}

225 =  {c}^{2}

c = 15.

\sin θ =  \frac{9}{15}

\cos θ =  \frac{12}{15}  =  \frac{4}{5}

\csc θ =  \frac{15}{9}

\secθ =  \frac{5}{4}

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In this question , all lengths are in centimetres. AB= 3x-4,AC=2x+12,BC=7x-2.given AB:AC=1:2 show that AC:BC=2:3
Lelu [443]

Answer:

AX : XB as AB : AC

AX = 5

XB = 4

AC = 6

AB = x

Step-by-step explanation:

5 : 4 as to x : 6

ratios can also be written as fractions...

5/4 = x/6 ..now we have a proportion...so we cross multiply

(4)(x) = (5)(6)

4x = 30

x = 30/4

x = 15/2 <==== AB = 15/2

4 0
3 years ago
Read 2 more answers
Which function has an average rate of change of -4 over the interval [-2,2]?
kolbaska11 [484]

Only p(x) has an average rate of change of -4 over [-2, 2].

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = \frac{m(b)-m(a)}{b-a}

Where, a = -2, m(a) = -12

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = \frac{n(b)-n(a)}{b-a}

Where, a = -2, n(a) = -6

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = \frac{q(b)-q(a)}{b-a}

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = \frac{-4-12}{2-(-2)}

= \frac{-16}{4}

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = \frac{p(b)-p(a)}{b-a}

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = \frac{-4-12}{2-(-2)}

=\frac{-16}{4}

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

To learn more about the average rate of visit:

brainly.com/question/8728504

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natka813 [3]

Answer:

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Step-by-step explanation:

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1. \: r ^{2}  - 1

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