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

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Question number: 1

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2012

MCQ▾

Question

The value of tan810tan630tan270+tan90 is –

Choices

Choice (4) Response

a.

0

b.

3

c.

2

d.

4

Question number: 2

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2012

MCQ▾

Question

Let f(x)=sin(xa)+sin(x+a)cos(xa)cos(x+a), then –

Choices

Choice (4) Response

a.

f is strictly increasing function

b.

f is strictly decreasing function

c.

f(x+2π)=f(x) but f(x+α)f(x) for any 0<α<2π

d.

f is a constant function:

Question number: 3

» Trigonometry » Trigonometric Identities and Equations

Appeared in Year: 2014

MCQ▾

Question

The number of solutions to the equations cos4x+1cos2x=sin4x+1sin2x in the interval [0, 2π] is –

Choices

Choice (4) Response

a.

2

b.

6

c.

0

d.

4

Question number: 4

» 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

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