simplify:
2sin35 deg times cos35 deg.
To simplify the expression 2sin(35°)cos(35°), you can use a trigonometric identity called the double angle formula for sine. The double angle formula for sine states that sin(2θ) = 2sin(θ)cos(θ).
In our case, θ is 35°, so we need to find sin(70°). Let's break down the process step by step:
Step 1: Convert 35° to radians.
To convert degrees to radians, you need to multiply the degree value by π/180. So, 35° in radians is (35π/180).
Step 2: Apply the double angle formula for sine.
sin(2θ) = 2sin(θ)cos(θ)
sin(70°) = 2sin(35°)cos(35°)
Step 3: Substitute the values.
sin(70°) = 2sin(35°)cos(35°)
Now, you can simplify the expression by calculating sin(70°).