Find the exact value of the remaining trigonometric functions given: Tan x = Undefined Sin x > 0
1 answer:
Answer:
- sin(x) = 1
- cos(x) = 0
- cot(x) = 0
- csc(x) = 1
- sec(x) = undefined
Step-by-step explanation:
The tangent function can be considered to be the ratio of the sine and cosine functions:
tan(x) = sin(x)/cos(x)
It will be undefined where cos(x) = 0. The values of x where that occurs are odd multiples of π. The smallest such multiple is x=π/2. The value of the sine function there is positive: sin(π/2) = 1.
The corresponding trig function values are ...
tan(x) = undefined (where sin(x) >0)
sin(x) = 1
cos(x) = 0
__
And the reciprocal function values at x=π/2 are ...
cot(x) = 0 . . . . . . 1/tan(x)
csc(x) = 1 . . . . . . .1/sin(x)
sec(x) = undefined . . . . . 1/cos(x)
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Answer:
Population of the 48th generation will be 4469.
Step-by-step explanation:
Recursive formula by which the population is increasing,
L₀ = 4
Common difference 'd' = 95
Recursive formula represents a linear growth in the population.
Therefore, explicit formula for the given sequence will be,
= L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]
Here n = Number of terms
L₄₈ = L₀ + (48 - 1)(95)
= 4 + 4465
= 4469
Therefore, population of the 48th generation will be 4469.