STATE TRUE OR FALSE
1)The value of tanA is always less than 1
2)SecA=12/5 for some value of angleA
3)Cos A is the abbreviation used for the cosecant of angle A
4)Cot A is the product of cot and A
5)SinA =4/3 for some angle A
Answers
- True
- True
- Tuue
- False
- True
Step-by-step explanation:
Hope you like answer please mark my brainlist and follow me
Thank you
SOLUTION :
(i) The value of tan A is always less than 1 : FALSE.
In the case of tan θ , the values increases from 0 to ∞,where 0 ≤ θ ≤ 90°.
tan A < 1
Value of tan A at 45° is = 1
As value of A increases to 90°
tan A becomes infinite (∞)
Hence, this given statement is FALSE.
(ii) sec A = 12/5 for some value of ∠A is TRUE.
sec A = 12/5 for some value of angle if
sec A = 2.4
sec A > 1
Hence, this given statements is TRUE.
(iii) Cos A is the abbreviation used for cosecant of angle A : FALSE
cos A is the abbreviation used for cosine of angle A , not as cosecant of angle A.
Hence , this given statement is FALSE.
(iv) Cot A is the product of cot A and A : FALSE
∵ cot A is a cotangent of angle A
cotangent of angle A (cot A) = adjacent side/ Opposite Side = B/P
Hence , this given statement is FALSE.
(v) sin θ = 4/ 3 for some angle θ is FALSE.
As we know that the hypotenuse is the longest side in a right angle triangle , so the value of Sin A is always less than or equal to 1.
Here value of sin θ = 4/ 3 = 1.333... exceeds 1.
Hence , this given statement is FALSE
HOPE THIS ANSWER WILL HELP YOU...