If cos theta = 2/3 what are the values of sin theta and tan theta

sin theta=0.75 degree, tan theta=1.12 degrees

Step-by-step explanation:

cos theta=2/3

cos theta=cah= Adjacent/hypotenus

so, adjacent=2, hypotenus=3, opposite=?

using Pythagoras theorem

hypotenus(squared)=opposite(squared)+adjacent(squared)

3(squared)=opp(squared)+2(squared)

9=opp(squared)+4

collect like terms

9-4=opp(squared)

opp(squared)=5

root both sides

opp=root of 5

opp=2.24

to find sin theta

sin theta=soh=opposite/hypotenuse

sin theta=2.24/3

sin theta=0.75 degrees

to find tan theta

tan theta=toa= opposite/adjacent

tan theta=2.24/2

tan theta=1.12 degrees

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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