Question

1. sin n/6 * (tg n/4 + cos n/3) 2. tg n/6 * (sin n/3 + cos n/6) 3. cos n/4 *(ctg n/4 + sin n/3)

Answer 1

Ответ:

1. 0.75

2. 1

Объяснение:

1.

sin n/6 = 1/2

tg n/4 =1

cos n/3 =1/2

1/2*(1+1/2)= 3/2*1/2=3/4=0.75

2.

tg n/6= корень из 3 на 3

sin n/3= корень из 3 на 2

cos n/6= корень из 3 на 2

получаем корень из 3 на 3 * 2 корня из 3 на 2= 6/6=1

Answer 2

It seems like you've provided three mathematical expressions involving trigonometric functions. Let's break down each expression:

1. sin(n/6) * (tan(n/4) + cos(n/3)):

   • This expression involves the sine, tangent, and cosine trigonometric functions.
   • To simplify, you can first calculate the values of sin(n/6), tan(n/4), and cos(n/3) individually for a given value of n, and then multiply the results.
   • Substitute n with the specific value you want to evaluate the expression for to get a numerical result.

2. tan(n/6) * (sin(n/3) + cos(n/6)):

   • This expression involves the tangent, sine, and cosine trigonometric functions.
   • Just like the first expression, you can calculate the values of tan(n/6), sin(n/3), and cos(n/6) individually for a given value of n and then multiply the results.
   • Again, substitute n with the specific value you want to evaluate the expression for to get a numerical result.

3. cos(n/4) * (cot(n/4) + sin(n/3)):

   • This expression involves the cosine, cotangent (or cot), and sine trigonometric functions.
   • Similarly, calculate the values of cos(n/4), cot(n/4), and sin(n/3) individually for a given value of n and then multiply the results.
   • Substitute n with the specific value you want to evaluate the expression for to get a numerical result.

To get numerical values for these expressions, you'll need to provide a specific value for the variable n. Trigonometric functions depend on the value of the angle (in this case, n), and without a specific value for n, we can't provide a numerical result.