Question

Спростіть вираз (1÷sina-ctga)(1÷sina+ctga)-1 СРОЧНО!!!

Answer 1

(1/sinα -ctgα)(1/sinα +ctgα) -1=
=(1/sinα-cosα/sinα)(1/sinα+cosα/sinα) -1=
=(1-cosα)(1+cosα)/sin²α -1=(1-cos²α)/sin²α -1=
=sin²α/sin²α -1=1-1=0

Answer 2

Simplifying the Expression (1÷sin(a) - ctg(a))(1÷sin(a) + ctg(a)) - 1

To simplify the expression (1÷sin(a) - ctg(a))(1÷sin(a) + ctg(a)) - 1, we can start by simplifying the individual terms.

Let's break it down step by step:

1. sin(a): The sine function calculates the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. However, the expression does not provide a specific value for 'a', so we cannot simplify sin(a) any further without additional information.

2. ctg(a): The cotangent function calculates the ratio of the length of the adjacent side to the length of the opposite side in a right triangle. Similar to sin(a), we cannot simplify ctg(a) without knowing the specific value of 'a'.

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

(1÷sin(a) - ctg(a))(1÷sin(a) + ctg(a)) - 1

Since we cannot simplify sin(a) and ctg(a) without additional information, we cannot simplify the given expression any further.

Please provide specific values for 'a' if you would like a more detailed simplification of the expression.