cot theta = 15/8, find cos theta and cosec theta
Answers
Answered by
3
Answer:
15/17 17/8
Step-by-step explanation:
in triangle ABC, angle B=90° , AC=hypotenuse, angle A=theta
cot theta=adjacent side/opposite side=15x/8x
hypotenuse=17x
cos theta=15/17
cosec theta=17/8
Answered by
0
Answer:
15/17 and 17/8
Step-by-step explanation:
cotA = 15/8
= > base/height = 15/8
Let base be 15a and height be 8a.
By Pythagoras theorem,
= > hypotenuse^2 = (15a)^2 + (8a)^2 =
= > hypotenuse^2 = 225a² + 64a² = 289a²
= > hypotenuse = 17a
Therefore,
cosA = base/hypo. = 15a/17a = 15/17
cosecA = hypo./height = 17a/8a = 17/8
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