Cos x° = sin(3x+10°) find tan x°

Step-by-step explanation:

we can write sin(3x+10)= cos{90-(3x+10)}

now

cosx= cos{90-(3x+10)}

eliminating cos from both sides we get

x=90-3x-10

4x=80

x=20

tan 20=0.364

it can be 40 also  if we take the sin part

yes. we do proportions in probabilities.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.