If tanβ‘A=3/4 , find the value of 1/sinβ‘A +1/cosβ‘A
Last updated at Oct. 26, 2020 by Teachoo
Transcript
Question 25 (Choice - 1) If tanβ‘π΄=3/4 , find the value of 1/sinβ‘π΄ +1/cosβ‘π΄ Given, tan A = 3/4 (ππππ πππππ ππ‘π π‘π πππππ π΄)/(ππππ ππππππππ‘ π‘π πππππ π΄) = 3/4 π΅πΆ/π΄π΅ = 3/4 Let BC = 3x & AB = 4x We find AC using Pythagoras Theorem In right triangle ABC Using Pythagoras theorem (AC)2 = (BC)2 + (AB)2 (AC)2 = (3x)2 + (4x)2 (AC)2 = 9x2 + 16x2 (AC)2 = 25x2 AC = β25π₯2 AC = 5x Now, sin A = (ππππ πππππ ππ‘π π‘π πππππ π΄)/π»π¦πππ‘πππ’π π sin A = π΅πΆ/π΄πΆ sin A = 3π₯/5π₯ sin A = π/π cos A = (ππππ ππππππππ‘ π‘π π΄)/π»π¦πππ‘πππ’π π cos A = π΄π΅/π΄πΆ cos A = 4π₯/5π₯ cos A = π/π Now, π/πππβ‘π¨ +π/πππβ‘π¨ = 1/(3/5)+1/(4/5) = 5/3+5/4 = (5 Γ 4 + 5 Γ 3)/(3 Γ 4) = (20 + 15)/12 = ππ/ππ
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
Question 1 (Choice - 2)
Question 2
Question 3 Important
Question 4
Question 5 (Choice - 1)
Question 5 (Choice - 2)
Question 6
Question 7 (Choice - 1)
Question 7 (Choice - 2)
Question 8 Important
Question 9 (Choice - 1)
Question 9 (Choice - 2) Important
Question 10
Question 11 Important
Question 12
Question 13
Question 14
Question 15
Question 16 (Choice - 1)
Question 16 (Choice - 2)
Question 17 (Case Based Question) Important
Question 18 (Case Based Question) Important
Question 19 (Case Based Question) Important
Question 20 (Case Based Question) Important
Question 21 Important
Question 22 (Choice - 1)
Question 22 (Choice - 2)
Question 23 Important
Question 24
Question 25 (Choice - 1) You are here
Question 25 (Choice - 2)
Question 26 Important
Question 27
Question 28 (Choice - 1)
Question 28 (Choice - 2)
Question 29 Important
Question 30 (Choice - 1) Important
Question 30 (Choice - 2)
Question 31 Important
Question 32
Question 33 Important
Question 34 (Choice - 1)
Question 34 (Choice - 2)
Question 35 Important
Question 36 Important
CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard
About the Author