i know the answer is 2, i just dont know how to get it.. can someone explain the steps ..?
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2 sec(π) csc(3π/2) .....and you gave the answer as 2
2 sec(π) csc(3π/2)
▬▬▬▬▬▬▬▬▬▬▬ substitute sec(π) = 1/(cos(π) and csc(3π/2) = 1/sin(3π/2)
= 2 (1/(cos(π))•(1/sin(3π/2))
▬▬▬▬▬▬▬▬▬▬▬ since cos π = -1 and sin(3π/2) = -1, then
= 2 (1/(-1)•(1/-1)
▬▬▬▬▬▬▬▬▬▬▬ simplify
= 2 ((-1)•(-1))
= 2
Hope this helps you out!
2 sec(π) csc(3π/2)
▬▬▬▬▬▬▬▬▬▬▬ substitute sec(π) = 1/(cos(π) and csc(3π/2) = 1/sin(3π/2)
= 2 (1/(cos(π))•(1/sin(3π/2))
▬▬▬▬▬▬▬▬▬▬▬ since cos π = -1 and sin(3π/2) = -1, then
= 2 (1/(-1)•(1/-1)
▬▬▬▬▬▬▬▬▬▬▬ simplify
= 2 ((-1)•(-1))
= 2
Hope this helps you out!