Match the trigonometric ratios that have same value- nbsp-cos-90-sin-90-cos-60- nbsp-sin-60-

The correct option is From the above table, we know that, sin 0° =cos 90° nbsp;= 0 sin 30°=cos 60° nbsp;=1/2 cos 0° =sin 90° nbsp;= 1 cos 30° =sin 60 ...

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Standard X

Mathematics

Trigonometric Table

Match the tri...

Question

Match the trigonometric ratios that have same value.

c o s 90 °

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s i n 90 °

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c o s 60 °

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s i n 60 °

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Solution

From the above table, we know that,

$s i n 0 ° = c o s 90 ° = 0$

$s i n 30 ° = c o s 60 ° = \frac{1}{2}$

$c o s 0 ° = s i n 90 ° = 1$

$c o s 30 ° = s i n 60 ° = \frac{\sqrt{3}}{2}$

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Similar questions

Q. Find the values of -

(i) 5 sin 30^°+ 3 tan 45^° (ii)

\frac{4}{5} \tan^{2} 60^{°} + 3 \sin^{2} 60^{°}

(iii) 2sin 30^°+ cos 0^°+ 3sin 90°

(iv)

\frac{\tan 60}{\sin 60 + \cos 60}

(v)

\cos^{2} 45^{°} + \sin^{2} 30^{°}

(vi) cos 60^°× cos 30^° + sin 60^°× sin 30^°

Q. Verify each of the following:
(i) sin 60° cos 30° − cos 60° sin 30° = sin 30°
(ii) cos 60° cos 30° + sin 60° sin 30° = cos 30°
(iii) 2 sin 30° cos 30° = sin 60°
(iv) 2 sin 45° cos 45° = sin 90°

In the given figure,

∠

PQR = 90^°,

∠

PQS = 90^°,

∠

PRQ =

α

and

∠

QPS =

θ

Write the following trigonometric ratios.
(i) sin

α

, cos

α

, tan

α

(ii) sin

θ

, cos

θ

, tan

θ

a) verify that sin 90 = sin 30 cos 60 + cos 60 sin 60

b) show that cos 38 cos 52 - sin 38 sin 52 = 0

Q. (sin 90?+cos 60?+ cos 45?)?( sin 30?- cos 0?+cos 45?) find the value

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Match the trigonometric ratios that have same value.

From the above table, we know that, sin 0°=cos 90°=0 sin 30°=cos 60°=12 cos 0°=sin 90°=1 cos 30°=sin 60°=√32

From the above table, we know that,

$s i n 0 ° = c o s 90 ° = 0$

$s i n 30 ° = c o s 60 ° = \frac{1}{2}$

$c o s 0 ° = s i n 90 ° = 1$

$c o s 30 ° = s i n 60 ° = \frac{\sqrt{3}}{2}$