If sin 3A = cos(A +10º), where 3A is an acute angle, then what is the value of 2cosecA + tan22A - cot2A
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 4
Concept
When Sin A = Cos B, it means that A and B are complementary angles
Application
sin 3A = cos(A +10º) (Given)
According to question
3A + A + 10º = 90º
4A = 80º
A = 20º
According to the question,
putting the value of A in equation 2cosecA + tan22A - cot2A
2cosec30° + tan22 × 30° - cot230°
2 × 2 + √32 - √32
4