11. a) Given that 2 tan (2x - 3) = 1, show that tan 2x = 3. .
b) Hence, using the tangent double angle formula, find the exact value of tan x in surd
form, given that x is an acute angle.

a

Step-by-step explanation:

it give 2 tan so that the answer 2x-3=1 so it can't be double angle

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47