if cos0 =1/2 then find the value of cos 0{cos 0-sec0}
Answers
Answer:
1/2
Step-by-step explanation:
cos
(
0
)
=
1
2
Use the definition of cosine to find the known sides of the unit circle right triangle. The quadrant determines the sign on each of the values.
cos
(
0
)
=
adjacent
hypotenuse
Find the opposite side of the unit circle triangle. Since the adjacent side and hypotenuse are known, use the Pythagorean theorem to find the remaining side.
Opposite
=
√
hypotenuse
2
−
adjacent
2
Replace the known values in the equation.
Opposite
=
√
(
2
)
2
−
(
1
)
2
Simplify
√
(
2
)
2
−
(
1
)
2
.
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Opposite
=
√
3
Find the value of sine.
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sin
(
0
)
=
√
3
2
Find the value of tangent.
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tan
(
0
)
=
√
3
Find the value of cotangent.
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cot
(
0
)
=
√
3
3
Find the value of secant.
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sec
(
0
)
=
2
Find the value of cosecant.
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csc
(
0
)
=
2
√
3
3
This is the solution to each trig value.
sin
(
0
)
=
√
3
2
cos
(
0
)
=
1
2
tan
(
0
)
=
√
3
cot
(
0
)
=
√
3
3
sec
(
0
)
=
2
csc
(
0
)
=
2
√
3
3