Trigonometry-Trigonometric Functions (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 4 of 4

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Question number: 1

» Trigonometry » Trigonometric Functions

Appeared in Year: 2011

MCQ▾

Question

Let f(x)=cos5x+Acos4x+Bcos3x+Ccos2x+Dcosx+E, and T=f(0)f(π5)+f(2π5)f(3π5)++f(8π5)f(9π5). Then T,

Choices

Choice (4) Response

a.

Is independent of A, B, C, D, E

b.

Depends on A, B, C, D, E

c.

Depend on B, D but independent of A, C, E

d.

Depends on A, C, E but independent of B and D

Question number: 2

» Trigonometry » Trigonometric Functions

Appeared in Year: 2010

MCQ▾

Question

The product (1+tan10)(1+tan20)(1+tan30)(1+tan450) equals –

Choices

Choice (4) Response

a.

222

b.

223

c.

221

d.

225

Question number: 3

» Trigonometry » Trigonometric Functions

Appeared in Year: 2012

MCQ▾

Question

The sum of all x[0,π] which satisfy the equation sinx+12cosx=sin2(x+π4) is –

Choices

Choice (4) Response

a.

π6

b.

π

c.

2π

d.

5π6

Question number: 4

» Trigonometry » Trigonometric Functions

Appeared in Year: 2015

MCQ▾

Question

Let,

C(θ)=n=0cos(nθ)n!

Which of the following statement is FALSE?

Choices

Choice (4) Response

a.

C(0)+C(π)>2

b.

C(θ)0forallθR

c.

C(0)C(π)=1

d.

C(θ)>0forallθR

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