SOLUTION: Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of:
sin Ɵ = ?
cos Ɵ = ?
tan Ɵ = ?
Also, find the number of degrees in Ɵ
Algebra.Com
Question 612148: Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of:
sin Ɵ = ?
cos Ɵ = ?
tan Ɵ = ?
Also, find the number of degrees in Ɵ to the nearest tenth of a degree.
I would love your help, thank you for your time.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Given that cot Ɵ = -(1/3) and csc Ɵ is negative, find the exact values of:
sin Ɵ = ?
cos Ɵ = ?
tan Ɵ = ?
Also, find the number of degrees in Ɵ to the nearest tenth of a degree.
**
cot<0 in quadrants II and IV
csc<0 in quadrants III and IV
Therefore, reference angle in quadrant IV
cot Ɵ=-1/3=adjacent side/opposite side
hypotenuse=√(1^2+3^2)=√10
sin Ɵ =-3/√10
cos Ɵ = 1/√10
tan Ɵ=-3
Ɵ=288.4º
RELATED QUESTIONS
Indicate whether each of the following is true or false.
sin 25° = sin 155°
tan 20° =... (answered by Edwin McCravy)
If Ɵ is in quadrant IV and sin Ɵ= -2/3 find the exact value of... (answered by lwsshak3)
if cosƟ = -2/3 and cotƟ >0, find the other trigonometric functions of... (answered by stanbon)
Help me find the values of Ɵ, where 0°<Ɵ<360°, that satisfy the following... (answered by lwsshak3)
Complete the table:
Definition: Period: Domain: Range:... (answered by Edwin McCravy)
Find sinƟ if cscƟ =... (answered by DrBeeee)
PROVE:(COSEC Ɵ+SIN Ɵ )(COSEC Ɵ -SINƟ )=(COT^2Ɵ +COS^2Ɵ... (answered by Alan3354)
Verify the identity
(1/ tanƟ + cotƟ) = sinƟ cosƟ
Can you please... (answered by b.uzsoki)
Can you help me prove this trigonometic identity?:... (answered by lynnlo)