Question

СРОЧНО УПРОСТИТЬ 1)sinb/1-cosb+sinb/1+cosb2)cosb/1-sinb+cosb/1-sinb3)sina/1+cosa+ctga4)cosa/1-sina-tga

Answer 1

1.Выражение: sin(b)/1-cos(b)+sin(b)/1+cos(b)...Решаем по действиям:   1. sin(b)+sin(b)=2*sin(b)    2. -cos(b)+cos(b)=0           Решаем по шагам:        1. 2*sin(b)-cos(b)+cos(b)     2. 2*sin(b)......      Ответ: 2*sin(b)
2.выражение    Ответ: 2*cos(b)-2*sin(b)
3. выражение   Ответ: sin(a)+cos(a)+cos(a)/sin(a)

Answer 2

1. To simplify the expression (sinb/(1-cosb)) + (sinb/(1+cosb)), we can combine the fractions by finding a common denominator:

[(sinb * (1+cosb)) + (sinb * (1-cosb))] / [(1-cosb) * (1+cosb)]

Now, simplify the numerator:

[sinb + sinb * cosb + sinb - sinb * cosb] / [(1-cosb) * (1+cosb)]

Combine like terms in the numerator:

[2sinb] / [(1-cosb) * (1+cosb)]

2. For the expression (cosb/(1-sinb)) + (cosb/(1-sinb)), similarly, we find a common denominator:

[(cosb * (1-sinb)) + (cosb * (1-sinb))] / [(1-sinb) * (1-sinb)]

Simplify the numerator:

[cosb - cosb * sinb + cosb - cosb * sinb] / [(1-sinb) * (1-sinb)]

Combine like terms in the numerator:

[2cosb] / [(1-sinb) * (1-sinb)]

3. To simplify the expression sina/(1+cosa) + ctga, we'll combine the terms:

[sina + ctga * (1+cosa)] / (1+cosa)

Multiply ctga by (1+cosa):

[sina + ctga + ctga * cosa] / (1+cosa)

4. For the expression cosa/(1-sina) - tga, we'll combine the terms:

[cosa - tga * (1-sina)] / (1-sina)

Multiply tga by (1-sina):

[cosa - tga + tga * sina] / (1-sina)

Please note that "ctga" is not a recognized trigonometric function. If you meant "cotan," then the simplifications I provided should be correct.