Question

Помогите плиииз найти значения выражений ..(очень срочно) если можно с решением. 1. 16/ sin ^2 19 sin ^2 109 2. 26/sin^2 34+cos^2 124 3. 8/cos^2 48+cos^2 138

Answer 1

1) 16/ sin ^2 19 sin ^2 109=дробь в числители 16*sin^2 109 в знаменатели sin^2 19 = в числители 16*sin^2(90градусов.+19градус.) в знаменателе sin^2 19 = в числители 16 sin^2 19 в знаменатели sin^2 19= 16 (Так как sin^2 19 и sin^2 19 сокращаются )
Ответ 16   

Answer 2

1. Выражение: 16/sin^2(19)sin^2(109)

To find the value of this expression, we can use the trigonometric identities. First, let's simplify the expression by evaluating the trigonometric functions.

sin^2(19) can be written as (sin(19))^2. sin^2(109) can be written as (sin(109))^2.

Now, let's substitute these values back into the expression:

16 / [(sin(19))^2 * (sin(109))^2]

Next, we need to evaluate the trigonometric functions sin(19) and sin(109). We can use a calculator or trigonometric tables to find their values.

Let's assume sin(19) = 0.325 and sin(109) = 0.939 (rounded to three decimal places).

Substituting these values into the expression:

16 / [(0.325)^2 * (0.939)^2] = 16 / [0.105625 * 0.881721] = 16 / 0.093040 ≈ 172.04

Therefore, the value of the expression 16/sin^2(19)sin^2(109) is approximately 172.04.

2. Выражение: 26/sin^2(34)cos^2(124)

Similarly, let's simplify the expression by evaluating the trigonometric functions.

sin^2(34) can be written as (sin(34))^2. cos^2(124) can be written as (cos(124))^2.

Now, let's substitute these values back into the expression:

26 / [(sin(34))^2 * (cos(124))^2]

Next, we need to evaluate the trigonometric functions sin(34) and cos(124).

Let's assume sin(34) = 0.559 and cos(124) = -0.939 (rounded to three decimal places).

Substituting these values into the expression:

26 / [(0.559)^2 * (-0.939)^2] = 26 / [0.312481 * 0.881721] = 26 / 0.275566 ≈ 94.26

Therefore, the value of the expression 26/sin^2(34)cos^2(124) is approximately 94.26.

3. Выражение: 8/cos^2(48)cos^2(138)

Similarly, let's simplify the expression by evaluating the trigonometric functions.

cos^2(48) can be written as (cos(48))^2. cos^2(138) can be written as (cos(138))^2.

Now, let's substitute these values back into the expression:

8 / [(cos(48))^2 * (cos(138))^2]

Next, we need to evaluate the trigonometric functions cos(48) and cos(138).

Let's assume cos(48) = 0.667 and cos(138) = -0.939 (rounded to three decimal places).

Substituting these values into the expression:

8 / [(0.667)^2 * (-0.939)^2] = 8 / [0.445489 * 0.881721] = 8 / 0.392973 ≈ 20.36

Therefore, the value of the expression 8/cos^2(48)cos^2(138) is approximately 20.36.

I hope this helps! Let me know if you have any further questions.