3 years ago

Prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

)

−1

Therefore, L.H.S = R.H.S

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Triangle ABC is a right triangle. The sides measure AB = 3 and BC = 4. Use the Pythagorean theorem to find CA. A. CA = 25 B. CA

Vesna [10]

Answer:

CA = 5

Step-by-step explanation:

Since the sides are 3 and 4, we recognize this as a 3:4:5 right triangle, with CA = 5. Using the Pythagorean theorem confirms this:

CA² = AB² +BC²

CA² = 3² +4² = 9 +16 = 25

CA = √25

CA = 5

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3 years ago

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There are 7 males and 5 females and we need to select 4 different people. how many ways can we select 4 people?

saul85 [17]

$\displaystyle \binom{12}{4}=\dfrac{12!}{4!8!}=\dfrac{9\cdot10\cdot11\cdot12}{2\cdot3\cdot4}=495$

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3 years ago

Which of the following expressions represents the distance between -13 and -4 on a number line

lesya692 [45]

Answer:

Step-by-step explanation:

The formula of a distance between two points (numbers) A and B on the number line:

d = |B - A| = |A - B|

We have A = -13 and B = -4. Substitute:

d = |-13 - (-4)|

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3 years ago

Can a triangle have sides with the given lengths 8cm, 7cm, 9cm explain

Paladinen [302]

Answer:

YES

Step-by-step explanation:

For a triangle of sides a, b, c, we must have the following to be true to have a triangle.

a + b > c > |a - b|

b + c > a > |b - c|

a + c > b > |a - c|

if a=8, b=7, and c=9, we have that:

8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.

7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.

8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.

Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.

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2 years ago

Whats -5/3+ 2 1/3 please help i dont wanna failPLWASEEE

Softa [21]

Step-by-step explanation:

$= - \frac{5}{3} + 2 \frac{1}{3}$

$= - \frac{5}{3} + \frac{7}{3}$

$= \frac{2}{3}$

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3 years ago

Prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2​

Prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2