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3 years ago

10

Give the exact value of csc 5π/6.

1 answer:

Sloan [31]3 years ago

5 0

Cosecant is one of the six trigonometric functions which is the inverse of the function sine. 5 pi over six is a 4th quadrant angle so we expect the value to be positive Hence we can get the sin of 5 pi over 6 first equal to 0.5, then take the reciprocal. The answer is 2

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Simplify the expression(a4−6a2b2+ b4)−(−2a4+5a2b2+ 3b4) and hence, find its value for a = 2and b = −1.

ELEN [110]

Answer:

(a) $3a^4 - 11a^2b^2 -2b^4$

(b) $3a^4 - 11a^2b^2 -2b^4= 2$

Step-by-step explanation:

Given

$(a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)$

Solving (a): Simplify

$(a^4 - 6a^2b^2+ b^4) - (-2a^4+5a^2b^2+ 3b^4)$

Open brackets

$a^4 - 6a^2b^2+ b^4 +2a^4-5a^2b^2- 3b^4$

Collect Like Terms

$a^4 +2a^4- 6a^2b^2-5a^2b^2+ b^4 - 3b^4$

Simplify Like Terms

$3a^4 - 11a^2b^2 -2b^4$

Solving (b): Simplify when a = 2 and b = -1

$3a^4 - 11a^2b^2 -2b^4$

$3*(2)^4 - 11*(2^2)*(-1)^2 -2*(-1)^4$

$3 * 16 - 11 * 4 * 1 - 2 * 1$

$48 - 44 - 2$

$= 2$

Hence:

$3a^4 - 11a^2b^2 -2b^4= 2$

4 0

3 years ago

timurjin [86]

Answer:

Betty = $600

Step-by-step explanation:

3/4 of Alice's salary is the same as 1/2 of Betty's salary

(3/4)a = (1/2)b

multiply both sides by 2

(3/2)a = b

Alice earns $200 less than Betty

b - a = 200

Substitute for b

(3/2)a - a = 200

(1/2)a = 200

multiply both sides by 2

a = 400

b = (3/2)400

b = 600

5 0

3 years ago

20-kilometer race which program is best 10 kilometers day 1 increase by 500 aday or 7,500 on day 1 increase by 0.75 a day

marishachu [46]

7,500 on dat 1 increase by 0.75 a dat is faster

6 0

3 years ago

What is 30 times 48?

bija089 [108]

Answer:

1440

Step-by-step explanation:

It’s 1440

6 0

3 years ago

Read 2 more answers

2x+y=3 ,<br>x + 3y = -12

mel-nik [20]

I think the answer would be 3

7 0

4 years ago

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