If x terminates in the fourth quadrant, then we know that sin(x) < 0 and cos(x) > 0. Given that sec(x) = 8, we immediately have
cos(x) = 1/sec(x) = 1/8
Recall the Pythagorean identity,
cos²(x) + sin²(x) = 1
Then it follows that
sin(x) = -√(1 - cos²(x)) = -3√7/8
Now recall the double angle identities,
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²(x) - sin²(x)
Then
sin(2x) = 2 (-3√7/8) (1/8) = -6√7/64 = -3√7/32
cos(2x) = (1/8)² - (-3√7/8)² = -62/64 = -31/32
By definition of tangent,
tan(x) = sin(x)/cos(x)
Then
tan(2x) = sin(2x)/cos(2x) = (=3√7/32) / (-31/32) = 3√7/31
Answer:
A={x:x is a multiple of five }
45/100 ..............................
The answer to your question 29 is E 935,00. The way how I got this answer by multiplying 55 and 17,000 and by that the is E. For question 30 the answer is H. The way how I got this answer is by knowing twice means 2 times so by that H was the only one with 15+2n so by that I knew that was the answer.
Hope this helps:)
30 toys in 30. Minutes. Math: 2x2= 4. 4x5=20+10