The sides of a right-angled triangle, right-angled at B, are 6, 8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan2 A + cos2 C?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. .
tan A = 6/8 = 3/4
⇒ tan2A = 9/16
cos C = 6/10 = 3/5
⇒ cos2C = 9/25
tan2A + cos2C = 9/16 + 9/25 = 369/400