English

Find If a If Tan 2a = Cot (A-24°) - Mathematics

Advertisements
Advertisements

Question

Find If A If tan 2A = cot (A-24°)

Sum

Solution

Given:
tan 2A = cot (A-24°)
⇒ tan 2A = tan[90° – (A – 24°)]
⇒ tan 2A = tan[90° – A + 24°]
⇒ tan 2A = tan [114° – A]
⇒ 2A = 114°  - A
⇒ 3A = 114° 
⇒ A = `(114°)/3`

⇒ A = 38°

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Delhi Set 2

RELATED QUESTIONS

Two dice are thrown. Find the probability of the event that the product of numbers on their upper faces is 12.


A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the cards thoroughly. Find the probability that the number on the drawn card is an even prime number.


Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is


Joseph kept 26 cards in a cap, bearing one English alphabet on each card. One card is drawn at random. What is the probability that the card drawn is a vowel card ?


In a class of 42 students in Model High School, 3 students use spectacles.
Fill in the following boxes to find the probability of a students selected
at random is wearing sepctacles.
The total number of students in the class is 42.
∴n(S) =   ...... ,
Let the event, a student uses spectacles, be A.
∴ n(A) = ...........
∴ P(A) =   ............ ∴ P(A) = ............ 


A bag contains cards numbered from 1 to 49. A card is drawn from the bag at random, after mixing the card thoroughly. Find the probability that the number on the drawn card is an even prime number


All the black face cards are removed from a pack of 52 cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting face card 


In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of 


In a bag there are 44 identical cards with figure of circle or square on them. There are 24 circles, of which 9 are blue and rest are green and 20 squares of which 11 are blue and rest are green.  One card is drawn from the bag at random. Find the probability that it has the figure of green colour  


A letter of English alphabet is chosen at random. Determine the probability that the chosen letter is a consonant.   


The probability of guessing the correct answer to a certain test questions is\[\frac{x}{12}\] If the probability of not  guessing the correct answer to this question is\[\frac{ 2}{3}\] then x = 


The probability of a certain event is 


A box contains 25 cards numbered from 1 to 25. A card is drawn at random from the bag. Find the probability that the number on the drawn card is divisible by 2 or 3.


Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is not a perfect square number.


In a certain race there are three boys A, B, C. The winning probability of A is twice than B and the winning probability of B is twice than C. If P(A) + P(B) + P(C) = 1, then find the probabilities of their winning.


From the same place at 7 a.m. A started walking in the north at a speed of 4 km/hr. after 1 hour, B started cycling in the east at a speed of 8 km/hr. at what time will they be at a distance of 20 km apart from each other?


A die is thrown once. Find the probability of getting a number which is a prime number


A die is thrown, find the probability of getting:

a number not greater than 4.


A book contains 92 pages. A page is chosen at random. What is the probability that the sum of the digits in the page number is 9?


In a throw of a dice, the probability of getting an even number is the same as that of getting an odd number.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×