To solve for c in the expression c = 5cos(35°) + 5sin(35°), we start by isolating c in the given equation.
Reorganizing, we have:
c = 5cos(35°) + 5sin(35°)Next, we can factor out the constant 5:
c = 5(cos(35°) + sin(35°))Now, we need to calculate cos(35°) and sin(35°). Using a calculator:
- cos(35°) ≈ 0.8192
- sin(35°) ≈ 0.5736
Substituting these values back into the equation:
c = 5(0.8192 + 0.5736)Calculating the sum:
c = 5(1.3928)Now, multiplying out:
c ≈ 6.964Thus, the final result for c is approximately 6.964.
In summary, the equation c = 5(cos(35°) + sin(35°)) is used to find the value of c, and with the computations, we find that c ≈ 6.964.