AP EAMCET2008MathematicsTrigonometric Ratios & Identities

If A=35^ , B=15^ and C=40^ , then A B+ B C+ C A is equal to

Options

Correct answer

B. 1

Step-by-step solution

Given that, A=35^ , B=15^ and C=40^ aligned & (A+B+C) & = [ array c A+ B+ C - A B C array ] [ array c 1- A B- B C - C A array ] & (90^ ) & = A+ B+ C- A B C 1- A B- B C- C A & A B+ B C & + C A=1 & aligned

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025 If A and B are acute angles satisfying 3 ^2 A+2 ^2 B=4 and 3 A B = 2 B A , then A+2 B= 2025 In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 2025 12 2 12 3 12 4 12 5 12 6 12 = 2025 If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025 If A+B+C+D=2 , then A+ B+ C+ D= 2025 (4 ^2 20 -1 ) (4 ^2 3 20 -1 ) (4 ^2 5 20 +1 ) (4 ^2 7 20 -1 ) (4 ^2 9 20 -1 )= 2025 If A and B are the values such that (A+B) and (A-B) are not odd multiples of 2 and 2 (A+B)=3 (A-B) , then A A= 2025 Full Trigonometric Ratios & Identities list All AP EAMCET PYQs