If sin θ = 8/17, find other trigonometric ratios of <θ.
Answers
Answered by
37
Answer:
OPP=8
HYP=17
SO BY PYTHAGORAS THEOREM
HYP^2=OPP^2+ADJ^2
17^2=8^2+ADJ^2≈
324=64+ADJ^2
ADJ^2= 289-64
ADJ^2=225
ADJ=15
SO
SIN=8/17{GIVEN}
COS=15/17
TAN=8/15
COT=15/8
COSEC= 17/8
SEC=17/15
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Answered by
54
TRIGONOMETRY !
TO FIND :- Other trigonometric ratios.
Sin θ = 8/17
Sin = opposite / hypotenuse
USING PYTHAGORAS !
AC² = AB² + BC²
17² = AB² + 8²
AB² = 17² - 8²
AB² = 289 - 64
AB² = √225
AB = 15
When we considered the t-ratios of ∠BAC = θ , WE HAVE :-
Base = BC = 8
Perpendicular = AB = 15
And Hypotenuse = AC = 17.
Therefore, Sin θ = 8/17
Cos θ = 15/17
Tan θ = 8/15
Cosec θ = 17/8
Sec θ =17/15
Cot θ = 15/8
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