1. If secA = 1.25, find other trigonometric ratios.
2. If cosec4A = sec(A + 36o
), where 4A is an acute angle, find the value of A.
Please answer as fast as possible.
wrong answers will be reported.
It's urgent.
Answers
Answered by
1
Step-by-step explanation:
We have,
sec A= 5/4
or, sec²A= 25/16
or, 1+tan²A= 25/16
or, tan²A= 25/16-1
or, tan²A= 9/16
or, tan A= 3/4.......(1)
now, sec A= 5/4
or, 1/cos A= 5/4
or, cos A= 4/5.....(2)
Multiplying (1) by (2) we get
tan A. cos A = 3/4 × 4/5
or, Sin A= 3/5.
Now, cosecA= 1/sin A= 5/3
cot A= 1/tanA= 4/3.
Hence
sinA= 3/5
cos A= 4/5
tan A= 3/4
cot A= 4/3
cosec A= 5/3.
2. We know that,
cosec (90°-A)=sec A
Therefore,
cosec 4A= sec(A+36°)
or, sec(90°-4A)=sec(A+36°)
or, 90°-4A= A+36°
or, 5A= 54°
or, A= 10.8°
Similar questions