Advertisements
Advertisements
प्रश्न
The value of tan 1° tan 2° tan 3°…. tan 89° is
पर्याय
0
1
2
`sqrt(3)/2`
Advertisements
उत्तर
1
Explanation;
Hint:
tan 1°. tan 2°. tan 3° …….. tan 89°
= tan (90° – 89°). tan (90° – 88°) .tan (90° – 87°) …….. tan 45°. tan (89°)
= cot 89°. cot 88°. cot 87°. ……. tan 45° …….. tan 87°. tan 88°. tan 89°
= 1
APPEARS IN
संबंधित प्रश्न
if `3 cos theta = 1`, find the value of `(6 sin^2 theta + tan^2 theta)/(4 cos theta)`
Use tables to find cosine of 26° 32’
Prove that:
sec (70° – θ) = cosec (20° + θ)
What is the maximum value of \[\frac{1}{\sec \theta}\]
If A + B = 90° and \[\tan A = \frac{3}{4}\]\[\tan A = \frac{3}{4}\] what is cot B?
If θ is an acute angle such that \[\cos \theta = \frac{3}{5}, \text{ then } \frac{\sin \theta \tan \theta - 1}{2 \tan^2 \theta} =\] \[\cos \theta = \frac{3}{5}, \text{ then } \frac{\sin \theta \tan \theta - 1}{2 \tan^2 \theta} =\]
If θ is an acute angle such that \[\tan^2 \theta = \frac{8}{7}\] then the value of \[\frac{\left( 1 + \sin \theta \right) \left( 1 - \sin \theta \right)}{\left( 1 + \cos \theta \right) \left( 1 - \cos \theta \right)}\]
If x tan 45° cos 60° = sin 60° cot 60°, then x is equal to
\[\frac{2 \tan 30° }{1 + \tan^2 30°}\] is equal to
If x tan 45° sin 30° = cos 30° tan 30°, then x is equal to ______.
