If cot theta =8/15,then find the values of cosec theta and sec theta.
Answers
Answered by
13
Answer:
cosectheta=17/15, sectheta=17/8
Answered by
23
Answer:
cosec theta = 17 / 15
sec theta = 17 / 8
Step-by-step explanation:
We know that,
cot theta = Base/perpendicular
cosec theta = Hypotenuse/Perpendicular
sec theta = Hypotenuse/base
a |\
| \
b ------ c
Let, abc is a triangle.
here,
cot theta = bc/ab
cosec theta = ac/ab
sec theta = ac/bc
cot theta = 8/15 means bc = 8 and ab = 15
and we also know that
Base² + perpendicular² = Hypotenuse²
so, ac² = ab² + bc²
ac² = 15² + 8²
ac² = 225 + 64 = 289
ac = √289 = 17
cosec theta = 17 / 15
sec theta = 17 / 8
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