All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>ARCHIVES (Last 8 Years)>Q 14

EASY

10th ICSE

IMPORTANT

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Prove that, $(cosec A - \sin A) (\sec A - \cos A) \sec^{2} A = \tan A$

Important Questions on Trigonometric Identities

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 1

If

\sin α

and

\cos α

are the roots of the equation

p x^{2} + q x + r = 0

, then the value of

p^{2} - q^{2} + 2 r p

is

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 2

In

∆ A B C

right angled at

B

, if

B C = 5 cm and A C - A B = 1 cm

, then the value of

\frac{\cos^{2} C}{1 - \sin C}

is

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 3

If

cosec θ - \sin θ = x^{3}

and

\sec θ - \cos θ = y^{3}

, then the value of

x^{2} y^{2} (x^{2} + y^{2})

is

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 4

If

T_{n} = \sin^{n} θ + \cos^{n} θ

, then the value of

\frac{T_{3} - T_{5}}{T_{1}}

is

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 5

If

\sin θ + \sin^{2} θ = 1

then the value of

\cos^{12} θ + 3 \cos^{10} θ + 3 \cos^{8} θ + \cos^{6} θ + 2 \cos^{4} θ + 2 \cos^{2} θ - 2

is:

HARD

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 6

The value of the expression $1 - \frac{\sin^{2} y}{1 + \cos y} + \frac{1 + \cos y}{\sin y} - \frac{\sin y}{1 - \cos y}$ is.

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 7

If

(\sec A + \tan A) (\sec B + \tan B) (\sec C + \tan C) = (\sec A - \tan A) (\sec B - \tan B) (\sec C - \tan C) = x

, then the value(s) of

x

is/are?

MEDIUM

10th ICSE

IMPORTANT

All In One ICSE Mathematics Class 10>Chapter 18 - Trigonometric Identities>CHALLENGERS>Q 8

If

f (x) = \cos^{2} x + \sec^{2} x

, then

f (x)

is