Answer:
False
Step-by-step explanation:
A number that can expressed as ,
Where, p and q are integers such that q ≠ 0, is called a rational number.
Also, a decimal number with repeating pattern is a rational number,
( for eg : 0.333.... = )
Since,
√3 = 1.73205080757.....
∴ There is no repeating pattern
Thus, √3 is not a rational number.
Given statement is FALSE.
Answer:
see explanation
Step-by-step explanation:
let pq = x
given oq - pq = 1 then oq = 1 + x
Using Pythagoras' identity, then
(oq)² = 7² + x²
(1 + x)² = 49 + x² ( expand left side )
1 + 2x + x² = 49 + x² ( subtract 1 from both sides )
2x + x² = 48 + x² ( subtract x² from both sides )
2x = 48 ( divide both sides by 2 )
x = 24 ⇒ pq = 24
and oq = 1 + x = 1 + 24 = 25 ← hypotenuse
sinq = =
cosq = =