Answer:
θ = {π/6, 5π/6} +2kπ . . . . for any integer k
Step-by-step explanation:
Multiplying by the product of the denominators, we can simplify this to ...
sin(θ)² +(1+cos(θ))² = 4sin(θ)(1+cos(θ))
sin(θ)² +1 +2cos(θ) +cos(θ)² = 4sin(θ)+4sin(θ)cos(θ)
2 +2cos(θ) = 2sin(θ)(2 +2cos(θ)) . . . . show similar factors
2(2sin(θ) -1)(1 +cos(θ)) = 0 . . . . subtract left side, complete the factoring
These factors are zero when ...
2sin(θ) -1 = 0 ⇒ sin(θ) = 1/2 ⇒ θ = π/6, 5π/6
1 +cos(θ) = 0 . . . . . extraneous solution; makes equation undefined
__
Solutions are periodic with period 2π, so the complete solution set is ...
θ = {π/6, 5π/6} +2kπ . . . . for any integer k
Answer:
Sometimes
Step-by-step explanation:
if you ABCD is a parallelogram.Prove: m∠A + m∠B + m∠C + m∠D = 360˚By the definition of a parallelogram, AD∥BC and AB∥DC. Using, AD as a transversal, ∠A and ∠ are same-side interior angles, so they are . By the definition of supplementary, m∠A + m∠D = 180. Using side as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. By the definition of supplementary, m∠B + m∠C = 180. So, m∠A + m∠D + m∠B + m∠C = 180 + 180 by the property. Simplifying, we have m∠A + m∠B + m∠C + m∠D = 360˚.1) D2) Supplementary3) BC4) Addition,
then really, it would be
Answer:
We need to see the figures.
Step-by-step explanation:
We can't solve it without the pictures.
Answer:
Option B
Step-by-step explanation:
Vertical x= -5, x= -3, Horizontal y=3x-4 (slant)
Answer: t= 2.032
Step-by-step explanation:
Given : Sample size :
Sample mean :
Standard deviation :
Claim : The IQ scores of statistics professors are normally distributed, with a mean greater than 116.
Let be the mean scores of statistics professors.
Then the set of hypothesis for the given situation will be :-
As the alternative hypothesis is right tailed , thus the test would be right tail test.
Since the sample size is less than 30, therefore the test would be t-test .
The test statistics for the given situation will be :-
Hence, the value of the test statistic : t= 2.032