this is exactly how the question is written and i tried to solve it but i just couldn't. Can u please show me how the work was done I don't want just the answer.
using the exact values,find the value of:
12 sin 30degrees - 6 tan of 45 degress + sec 45 degrees / 52.
please help!
12 sin 30degrees - 6 tan of 45 degress + sec 45 degrees / 52.
sin 30 = 1/2
tan 45 = 1
sec 45 = sqrt(2)
12 * 1/2 - 6 * 1 + sqrt(2)/52
12/2 - 6 + sqrt(2)/52
6 - 6 + sqrt(2)/52
0 + sqrt(2)/52 = sqrt(2)/52
thanks !
you're welcome!
Sure! I'm here to help you. Let's break down the problem step by step:
Step 1: Express each trigonometric function in terms of their exact values.
First, let's find the exact values for the trigonometric functions involved:
sin 30 degrees = 1/2
tan 45 degrees = 1
sec 45 degrees = √2
Step 2: Substitute the exact values into the given expression.
Substituting the exact values we found into the expression:
12 * (1/2) - 6 * 1 + √2 / 52
Step 3: Simplify the expression.
Let's simplify the expression further:
6 - 6 + √2 / 52
Since 6 - 6 equals 0, we can simplify it to:
√2 / 52
And that's our final answer. The value of the expression 12 sin 30 degrees - 6 tan 45 degrees + sec 45 degrees / 52, using the exact values, is √2 / 52.
Remember, when dealing with trigonometric functions, it's important to know their exact values. You can either memorize them or refer to a trigonometry table.