4.05 Unit Test: Trigonometric Functions and Identities

1) Given cos θ=3√4 and sinθ<0 .

What is the value of sinθ ?

2) Given sin(−θ)=−16 and tanθ=−35√35 .

What is the value of cosθ ?

3) The angle θ lies in Quadrant III . cosθ=−16

What is tanθ ?

4)What is the value of sinθ given that (5, −12) is a point on the terminal side of θ ?

5)What is the value of cosθ given that (−5, −4) is a point on the terminal side of θ ?

6)The terminal side of θ passes through the point (−9,10).

What is the exact value of sinθ in simplified form?

7)A roofer is standing on the roof of a house 60 ft above the ground. His truck is parked 25 ft from the house.

What is the angle of depression from the roofer to his truck?

Round to the nearest whole degree.

8)What is the value of arcsin(3√2) ?

9)An incline bench, as shown in the figure, is used at a gym for doing sit-ups. What is θ?

Round your answer to the nearest degree.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6

16.9 times 2.85

step-by-step explanation:

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0