(-2)³ 2(-2)² (-2) 3(-2)² 2 5(-2)³ 5 8(-2)² 8(-2)⁴ 2

3/4 (-2/4) 5/4 (-1/4)=

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1. In a triangle ABC, right angled at A , if tanC=√3, find the value of sinB cosC cosB sinC
   

2. Two players A and B are competing at a trivia quiz game involving a series of questions. On any individual question, the probabilities that A and B give the correct answer areαandβrespectively, for all questions, with outcomes for different questions being independent. The game finishes when a player wins by answering a question correctly. Compute the probability that A wins if
a) A answers the first question,
b) B answers the first question.