16) if sin x= 1/5 then csc x =?

my answer: 5

17) sec x = 5/4 and value of tan x is positive what is sin x equal?

my answer: 3/5

18) cot x = 3/4 and cos x is negative. sin x =?

my answer: -4/5

19) cos x = -1/2 the value of of x can be in the form α*pi what is the value of α?

my answer: 2/3

20) the value of tan x is $\displaystyle sqrt{3}$. sin x is positive what is sec x?

my answer: 2

21) Evaluate: $\displaystyle tan (sin^{-1}(1/sqrt{2}))$

my answer: 1

22)$\displaystyle tan (cot^{-1}(1/3))=?$

My answer: 3

23) $\displaystyle sin (pi/4 + pi/6)$ can be expressed in the form $\displaystyle [sqrt{2}(sqrt{3}+1)]/y$. whats y?

my answer: 4

24) $\displaystyle cos (pi/4 + pi/6)$ can be expressed in the form $\displaystyle [sqrt{2}(sqrt{3}-1)]/z $ whats z?

my answer: 4

25) if $\displaystyle sin x = sqrt{3}/2$ and $\displaystyle tan x= - sqrt{3}$ the vaule of x can be written in the form $\displaystyle api$. whats a?

my answer: 2/3

26) sin x = 1/4 and cos x > 0. cos x can be expressed in the form $\displaystyle sqrt{a}/4 $what is the value of a?

my answer: 15

27) sin x =1/4 and cos x>0. sin (2x) can be written in the form $\displaystyle sqrt{15}/a$ what is the value of a?

My answer: 8

28) cos x= 1/3 and sin (x/2) > 0. The value of sin (x/2) can be written as $\displaystyle 1/sqrt{a}$. what is a?

my answer: 3

29) evaluate: $\displaystyle 1/2 log_{1/4} 80 - 1/2 log_{1/4} 5$

my answer: -1