Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 3

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IMPORTANT

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If $(\sin α + cosec α)^{2} + (\cos α + \sec α)^{2} = k + \tan^{2} α + \cot^{2} α$ , then the value of $k$ is equal to

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Important Questions on Trigonometry

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10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 4

If

\sin θ + \cos θ = a

and

\sec θ + cosec θ = b

, then the value of

b (a^{2} - 1)

is equal to

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IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 5

If

5 x = \sec θ

and

\frac{5}{x} = \tan θ

, then

x^{2} - \frac{1}{x^{2}}

is equal to

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IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 6

If

\sin θ = \cos θ

, then

2 \tan^{2} θ + \sin^{2} θ - 1

is equal to

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Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 7

If

x = a \tan θ

and

y = b \sec θ

then

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IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 8

(1 + \tan θ + \sec θ) (1 + \cot θ - cosec θ)

is equal to

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IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 9

a \cot θ + b cosec θ = p

and

b \cot θ + a cosec θ = q

then

p^{2} - q^{2}

is equal to

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IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 10

If the ratio of the height of a tower and the length of its shadow is

\sqrt{3} : 1

, then the angle of elevation of the sun has measure

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IMPORTANT

Mathematics Standard 10>Chapter 6 - Trigonometry>Exercise 6.5>Q 11

The electric pole subtends an angle of

30 °

at a point on the same level as its foot. At a second point

' b'

metres

above the first, the depression of the foot of the pole is

60 °

. The height of the pole (in

metres

) is equal to