Question

Sin(-a)cos(-a)(tga+ctga)​

Answer 1

Ответ: -1

Объяснение: sin(-a)=-sina т.к нечетная функция

Cos(-a)=cosa т.к четная функция

Answer 2

Let's break down the expression step by step:

1. Start with the expression: sin(-a) * cos(-a) * (tan(a) + c * tan(a))

2. Use the trigonometric identities:

   • sin(-a) = -sin(a) (since sine is an odd function)
   • cos(-a) = cos(a) (since cosine is an even function)
   • tan(-a) = -tan(a) (since tangent is an odd function)

3. Apply these identities to the expression: -sin(a) * cos(a) * (tan(a) + c * tan(a))

4. Factor out the common factor of tan(a): -sin(a) * cos(a) * tan(a) * (1 + c)

So, the simplified expression is: -sin(a) * cos(a) * tan(a) * (1 + c)