Question

Tg²d(2cos²d+sin²d-1)

Answer 1

Ответ:

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Answer 2

To simplify the expression Tg²d(2cos²d + sin²d - 1), let's break it down step by step.

Step 1: Simplify the expression inside the tangent function. 2cos²d + sin²d - 1

Step 2: Apply trigonometric identities. Recall the trigonometric identity: cos²θ + sin²θ = 1. Using this identity, we can simplify the expression inside the tangent function:

2cos²d + sin²d - 1 = 2(1 - sin²d) + sin²d - 1 = 2 - 2sin²d + sin²d - 1 = 1 - sin²d

Step 3: Substitute the simplified expression back into the original expression. Tg²d(1 - sin²d)

Step 4: Apply another trigonometric identity. Recall the trigonometric identity: 1 - sin²θ = cos²θ. Using this identity, we can further simplify the expression:

Tg²d(cos²d)

Finally, the simplified expression is Tg²d(cos²d).