1. For non-negative integers n, let k +1 k +2 Σsin n +2 n sin k = 0 n +2 f(n) = Lsin-( k +1, k = 0 n +2 Assuming cos-x takes values in [0, A), which of the following options is/are correct? (a) If a = tan(cos"'f(6), then a + 2a - 1= 0 (b) f(4) (c) sin(7 cos"'f(5)) = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 21E
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1. For non-negative integers n, let
k +1
Σsin
n
a sin *+2
k = 0
n +2
n +2
f(n) =
Èsin k+
Σsin /
n +2
k = 0
Assuming cos x takes values in [0, T), which of the
following options is/are correct?
(a) If a = tan(cos'f(6), then a? + 20a - 1 =0
-1
(b) f(4)
2
(C) sin(7cos f(5) = 0
%3D
(d) lim f(n):
2
Transcribed Image Text:1. For non-negative integers n, let k +1 Σsin n a sin *+2 k = 0 n +2 n +2 f(n) = Èsin k+ Σsin / n +2 k = 0 Assuming cos x takes values in [0, T), which of the following options is/are correct? (a) If a = tan(cos'f(6), then a? + 20a - 1 =0 -1 (b) f(4) 2 (C) sin(7cos f(5) = 0 %3D (d) lim f(n): 2
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