Trigonometry (KVPY Stream SB-SX (Class 12 & 1st Year BSC) Math): Questions 1 - 5 of 8

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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 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: 4

» 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: 5

» 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

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