Evaluate the following trigonometric expressions: 1 sec(30°) 2 cos(60°) + tan(45°) 3 cos(30°) * sin(60°) 4 sin(60°)cos(30°) - cos(60°)sin(30°) 5 sin(45°)

Morning Hope❤️‍🔥❤️‍🔥 — let's get this done. Here are the values for each expression: 1.1 Step 1: Recall the definition of and the value of 30^. 30^ = (1)/( 30^) 30^ = sqrt(3)2 Step 2: Substitute the value and simplify. 30^ = (1)/(sqrt(3))2 = (2)/(sqrt(3)) = 2sqrt(3)3 The value is 2sqrt(3)3. 1.2 Step 1: Recall the values of 60^ and 45^. 60^ = (1)/(2) 45^ = 1 Step 2: Add the values. 60^ + 45^ = (1)/(2) + 1 = (3)/(2) The value is (3)/(2). 1.3 Step 1: Recall the values of 30^ and 60^. 30^ = sqrt(3)2 60^ = sqrt(3)2 Step 2: Multiply the values. 30^ × 60^ = sqrt(3)2 × sqrt(3)2 = (3)/(4) The value is (3)/(4). 1.4 Step 1: Recognize the trigonometric identity for (A-B). A B - A B = (A-B) Here, A = 60^ and B = 30^. Step 2: Apply the identity. 60^ 30^ - 60^ 30^ = (60^ - 30^) = 30^ Step 3: Recall the value of 30^. 30^ = (1)/(2) The value is (1)/(2). 1.5 Step 1: Recognize the Pythagorean identity. ^2 + ^2 = 1 Here, = 45^. Step 2: Apply the identity. ^2 45^ + ^2 45^ = 1 The value is 1. 1.6 Step 1: Recognize the Pythagorean identity 1 - ^2 = ^2 . sqrt(1 - ^2 30^) = sqrt(^2 30^) Step 2: Simplify the square root. Since 30^ is in the first quadrant, 30^ is positive. sqrt(^2 30^) = 30^ Step 3: Recall the value of 30^. 30^ = sqrt(3)2 The value is sqrt(3)2. 1.7 Step 1: Identify the values of each trigonometric function. Assuming "cos ec60" means 60^. 60^ = (1)/( 60^) = (1)/(sqrt(3))2 = (2)/(sqrt(3)) = 2sqrt(3)3 45^ = 1 30^ = (1)/(2) 30^ = (1)/( 30^) = (1)/(sqrt(3))2 = (2)/(sqrt(3)) = 2sqrt(3)3 Step 2: Substitute these values into the expression. ( 60^ · 45^ · 30^)/( 30^) = (2sqrt(3)3) · (1) · ((1)/(2))2sqrt(3)3 Step 3: Simplify the expression. 2sqrt(3)3 · (1)/(2)2sqrt(3)3 = (1)/(2) The value is (1)/(2). Send me the next one 📸