To simplify the expression -2(csc²θ - cot²θ) - 1, we need to use the Pythagorean identity in trigonometry, which states that csc²θ - cot²θ = 1.

Step 1: Substitute the Pythagorean identity into the expression
-2(csc²θ - cot²θ) - 1 becomes -2(1) - 1

Step 2: Simplify the expression
-2(1) - 1 = -2 - 1 = -3

So, the simplified form of the expression -2(csc²θ - cot²θ) - 1 is -3.

Question

To simplify the expression -2(csc²θ - cot²θ) - 1, we need to use the Pythagorean identity in trigonometry, which states that csc²θ - cot²θ = 1.

Step 1: Substitute the Pythagorean identity into the expression
-2(csc²θ - cot²θ) - 1 becomes -2(1) - 1

Step 2: Simplify the expression
-2(1) - 1 = -2 - 1 = -3

So, the simplified form of the expression -2(csc²θ - cot²θ) - 1 is -3.

Knowee AI · Accepted Answer

To simplify the expression -2(csc²θ - cot²θ) - 1, we need to use the Pythagorean identity in trigonometry, which states that csc²θ - cot²θ = 1.

Step 1: Substitute the Pythagorean identity into the expression
-2(csc²θ - cot²θ) - 1 becomes -2(1) - 1

Step 2: Simplify the expression
-2(1) - 1 = -2 - 1 = -3

So, the simplified form of the expression -2(csc²θ - cot²θ) - 1 is -3.

Simplify the expression.-2(csc2θ - cot2θ) - 1