Trigonometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 6 - 8 of 8

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Question number: 6

» 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: 7

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2015

MCQ▾

Question

The number of real numbers λ for which the equality

sin(λα)sinαcos(λα)cosα=λ1

Holds for all real α which are not integral multiple of π2 is –

Choices

Choice (4) Response
a.

Infinite

b.

3

c.

2

d.

1

Question number: 8

» 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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