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Verdich [7]
3 years ago
12

Find the angle relationship in the table

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0

Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear

Step-by-step explanation:

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Shania and Pedro are discussing whether it is always possible to solve a right triangle, given enough information, without using
Makovka662 [10]

Answer: Shania is correct.

Step-by-step explanation:

For a right angled triangle, given two sides and an angle, we can use the sine rule or the various trigonometry identities to solve the triangle;

a/sin A = b/sinB

and

sin (angle) = opposite side/hypotenuse

cos (angle) = adjacent side/hypotenuse

tan (angle) = opposite/ adjacent

assuming a is the opposite side of angle A and b is also opposite of angle B

Otherwise, the only way to solve a triangle given two sides only is by the use of the Pythagoras theorem.

Hence, Shania is correct.

7 0
3 years ago
Prove that: (Sec A- cosec A)(1+ tan A+cot A) = tan A× sec A - cot A × cosec A
mash [69]

Answer:

Step-by-step explanation:

(sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA

we take the LHS so here goes,

(sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA\\(\frac{1}{cosA} -\frac{1}{sinA})(1+\frac{sinA}{cosA}+\frac{cosA}{sinA})\\\\(\frac{sinA-cosA}{sinAcosA})(\frac{sinAcosA+sin^2A+cos^2A}{sinAcosA})\\

since , sin^2A+cos^2A=1

the identity becomes,

(\frac{sinA-cosA}{sinAcosA})(\frac{1+sinAcosA}{sinAcosA})\\\\(\frac{sinA+sin^2AcosA-cosA-cos^2AsinA}{sin^2Acos^2A})\\\\

now, we know,

sin^2A=1-cos^2A and cos^2A=1-sin^2A

the identity becomes,

(\frac{sinA+(1-cos^2A)cosA-cosA-(1-sin^2A)sinA}{sin^2Acos^2A} )\\\\

(\frac{sinA+cosA-cos^3A-cosA-sinA+sin^3A}{sin^2Acos^2A})

sin A and cos A cancel out it becomes zero

\frac{sin^3A-cos^3A}{sin^2Acos^2A} \\\\

Splitting the denominator the identity becomes

\frac{sin^3A}{sin^2Acos^2A}-\frac{cos^3A}{sin^2Acos^2A}  \\\\\frac{sinA}{cos^2A} - \frac{cosA}{sin^2A} \\\\\frac{sinA}{cosA}(\frac{1}{cosA})-\frac{cosA}{sinA}(\frac{1}{sinA})\\\\

Hence,

tanAsecA-cotAcosecA

3 0
3 years ago
-5x(x+4)=-2(2x+1)=<br><img src="https://tex.z-dn.net/?f=%20-%205%28x%20%2B%204%29%20%3D%20%20-%202%282x%20%2B%201%29" id="TexFor
Alisiya [41]

Answer:

x = -18

Step-by-step explanation:

Please, share the instructions when you post a problem.  I can only assume here that you want to solve the given equation for x.

Multiplying out this equation, we get:

-5x - 20 = -4x - 2

Then:

-x = 18 and x = -18.

7 0
4 years ago
- What value of x makes this equation true?<br> - 8 = x - 2
777dan777 [17]

Answer:

Uh

Step-by-step explanation:

4 0
3 years ago
Rewrite the subtraction problem as an addition expression using the additive inverse. -9.7 - (-18,6)
Valentin [98]

Answer:

<em>-9.7 + 18.6</em>

Step-by-step explanation:

Given the expression:

-9.7 - (-18,6)

The additive inverse of -18.6 is 18.6

The product of teo negative sign will also give a positive sign, hence:

-9.7 - (-18,6) = -9.7 + 18,6

-9.7 + 18,6 = 18.6 - 9.7

18.6 - 9.7 = 8.9

<em>Hence the expression can also be written as -9.7 + 18.6 with 8.9 being the solution</em>

<em></em>

3 0
3 years ago
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