Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 7

MEDIUM

11th ICSE

IMPORTANT

Earn 100

Find the maximum value of $\sin x \cos x$ .

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Important Questions on Trigonometry

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 8

What is the maximum value of

3 \sin x - 4 \sin^{3} x ?

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 9

What is the minimum value of

3 \cos x - 4 \cos^{3} x ?

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 10

What is the least value of

2 \sin^{2} x + 3 \cos^{2} x ?

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 11

The maximum value of $\sin x + \cos x$ is $\sqrt{k}$ . Find the value of $k$

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 12

The minimum value of

\sin x - \cos x

is

- \sqrt{k}

then find the value of

k

MEDIUM

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 13

If

\sin 2 x = \cos 3 x

and

0 \leq x < \frac{π}{2},

and the value of

x

is

\frac{π}{k}

, find the value of

k

.

HARD

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 14

A railway carriage is travelling along a circular railway track of radius

1500

metres with a speed of

66 km / hour

. Find the angle in degrees turned by the engine in

10

seconds.

EASY

11th ICSE

IMPORTANT

Understanding ISC Mathematics Class 11 Volume 1>Chapter 3 - Trigonometry>CHAPTER TEST>Q 15

If

\tan x = \frac{a}{b},

show that

\frac{a \sin x - b \cos x}{a \sin x + b \cos x} = \frac{a^{2} - b^{2}}{a^{2} + b^{2}}

.