Advertisements
Advertisements
प्रश्न
Evaluate:
3 cos 80° cosec 10° + 2 cos 59° cosec 31°
Advertisements
उत्तर
3 cos 80° cosec 10° + 2 cos 59° cosec 31°
= 3 cos (90° – 10°) cosec 10° + 2 cos (90° – 31°) cosec 31°
= 3 sin 10° cosec 10° + 2 sin 31° cosec 31°
= 3 + 2
= 5
APPEARS IN
संबंधित प्रश्न
Without using trigonometric tables, evaluate the following:
`( i)\frac{\cos37^\text{o}}{\sin53^\text{o}}\text{ }(ii)\frac{\sin41^\text{o}}{\cos 49^\text{o}}(iii)\frac{\sin30^\text{o}17'}{\cos59^\text{o}\43'}`
For triangle ABC, show that : `tan (B + C)/2 = cot A/2`
Evaluate:
`3 sin72^circ/(cos18^circ) - sec32^circ/(cosec58^circ)`
What is the maximum value of \[\frac{1}{\sec \theta}\]
If \[\frac{{cosec}^2 \theta - \sec^2 \theta}{{cosec}^2 \theta + \sec^2 \theta}\] write the value of \[\frac{1 - \cos^2 \theta}{2 - \sin^2 \theta}\]
The value of cos 1° cos 2° cos 3° ..... cos 180° is
Prove that:
\[\frac{sin\theta \cos(90° - \theta)cos\theta}{\sin(90° - \theta)} + \frac{cos\theta \sin(90° - \theta)sin\theta}{\cos(90° - \theta)}\]
In the case, given below, find the value of angle A, where 0° ≤ A ≤ 90°.
sin (90° - 3A).cosec 42° = 1.
Sin 2B = 2 sin B is true when B is equal to ______.
The value of (tan1° tan2° tan3° ... tan89°) is ______.
