<u>Q1: Given sin(x+22)° = cos(2x−7)°
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Using the concept of Right triangles and Trigonometric ratios, we can use a formula given as follows :-
If, sin(A) = cos(B). Then we must have A + B = 90 degrees.
We have sin(x+22)° = cos(2x−7)°
Then it must be true that (x+22)° + (2x−7)° = 90 degrees.
(x + 22) + (2x - 7) = 90
3x + 15 = 90
3x + 15 - 15 = 90 - 15
3x = 75
Hence, x = 25 degrees is the final answer.
<u>Q2: Given cos(x) = 1213 and sin(x) = 513. </u>
It says to find ratio of tan(x).
Using the concepts of Trigonometric ratios, We can the formula that relates all three functions i.e. sin(x), cos(x), and tan(x).
tan(x) =
We can plug the given values in the formula.
is the final answer.
Answer:
Simple random sampling
Step-by-step explanation:
In this example, the teacher takes a random 40-student sample from the whole population of students. The fact that the students are alphabetically order does not interfere in the sampling process since students are picked at random. Therefore, the teacher applied the simple random sampling method.
This method provides an unbiased representation of the population.