find the trigonometric function of 315⁰ and -210⁰
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Answers
Step-by-step explanation:
Explanation:
On the trig unit circle,
sin (315) = sin (-45 + 360) = sin (-45) = - sin (45)
Trig table gives ->
sin
315
=
−
sin
45
=
−
√
2
2
cos 315 = cos (- 45) = cos 45 =
√
2
2
tan
315
=
sin
cos
=
−
1
cot 315 = 1/tan = -1
sec = 1/cos = sqrt2
csc = 1/sin = - sqrt2
Answer link
Dean R.
May 11, 2018
This is one of the usual suspects,
−
45
∘
, in the fourth quadrant, positive cosine, negative sine:
cos
(
315
∘
)
=
1
√
2
sin
(
315
∘
)
=
−
1
√
2
tan
315
∘
=
−
1
sec
315
∘
=
√
2
csc
315
∘
=
−
√
2
cot
315
∘
=
−
1
Explanation:
Step 1: First we fight the depression that comes when we see they've asked yet again a question about the two tired triangles of trig, 30/60/90 or 45/45/90.
Step 2: We apply various trig identities related to coterminal and negated angles and do the problem.
cos
(
315
∘
)
=
cos
(
315
∘
−
360
∘
)
=
cos
(
−
45
∘
)
=
cos
45
∘
=
1
√
2
Typing that is like practicing scales on the piano. Question writers, please give us another triangle.
sin
(
315
∘
)
=
sin
(
315
∘
−
360
∘
)
=
sin
(
−
45
∘
)
=
−
sin
45
∘
=
−
1
√
2
tan
315
∘
=
sin
315
∘
cos
135
∘
=
−
1
√
2
1
√
2
=
−
1
sec
315
∘
=
1
cos
315
∘
=
√
2
csc
315
∘
=
1
sin
315
∘
=
−
√
2
cot
315
∘
=
1
tan
315
∘
=
−
1
Answer link
hope this is helpful
Answer:
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Step-by-step explanation:
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