Question

. An angle theta, of first quadrant can take only integer values such that 30° < 0 ≤ 90°. The probability that tan therapy ≤ 1is ​

Answer 1

Answer: 1/4

Step-by-step explanation:

*theta value can be from 30° to 90°

Therefore total possible degrees are 90-30 = 60

According to the question,

tan should be less than or equal to 1

i.e. tan theta =1

Thus, tan 45°= 1

this means theta should be less than or equal to 45° in order to satisfy the condition tan ≤ 1

*Previously theta was already given not more than 30°

thus the thita value can be from 30 to 45

Thus total values of thita are 45-30= 15

probability= 15/60 = 1/4