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Ivenika [448]
3 years ago
7

How do you verify this trigonometric identity? cos^2 θcot^2 θ = cot^2 θ - cos^2 θ

Mathematics
1 answer:
sattari [20]3 years ago
8 0
<h3>Explanation:</h3>

Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).

  cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)

  (1 -sin^2(θ))cot^2(θ) =  . . . . . replace cos^2 with 1-sin^2

  cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin

  cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired

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slavikrds [6]
I'd say that, if the angles S and U are equal, as the SV and UV segments move towards each other, they meet at vertex V, the angles they make, angle SVT and UVT, have to be equal, because the side TV is shared by both, and has the same direction.

now, side TV is on both triangles, and is shared by both, so is the same length, so TV on one triangle is equal to TV on the other

check the picture below

so, you have one Angle, another Angle, and then a Side
                          A                    A                          S

3 0
3 years ago
Please answer this now in two minutes
Firlakuza [10]

Answer:

x = 6.6

Step-by-step explanation:

Data obtained from the question include the following:

Angle X = 15°

Angle Y° = 23°

Side y = 10

Side x =..?

The value of side x can be obtained by using the sine rule as shown below:

x/Sine X = y/Sine Y

x/Sine 15 = 10/Sine 23

Cross multiply

x × Sine 23 = 10 × Sine 15

Divide both side by Sine 23

x = (10 × Sine 15) / Sine 23

x = 6.6

Therefore, the value of x is 6.6.

7 0
3 years ago
Matthew's dad is 5 times as old as him. If the differences of their ages is 28, how old is matthew?
enyata [817]

Answer:

7

Step-by-step explanation:

5x-x=28  The dad is 5 times as old and the difference in their ages is 28years.

4x=28 Simplify and divide.

x=7

6 0
3 years ago
How do you identify a rational equation?
soldier1979 [14.2K]

Answer:

\frac{P(X)}{Q(X)}

Step-by-step explanation:

it is an equation containing at least one fraction whose numerator, denominator are polynomials.

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Angles of a triangle
PilotLPTM [1.2K]

Answer:

180 -93+37= 180 -124 = 56

Step-by-step explanation:

interior angles of a triangle are 180 degrees

so 180 - 124 = 56

6 0
3 years ago
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