Advertisements
Advertisements
प्रश्न
Evaluate:
`(sin35^circ cos55^circ + cos35^circ sin55^circ)/(cosec^2 10^circ - tan^2 80^circ)`
Advertisements
उत्तर
`(sin35^circ cos55^circ + cos35^circ sin55^circ)/(cosec^2 10^circ - tan^2 80^circ)`
= `(sin35^circ.cos(90^circ - 35^@) + cos35^circ.sin(90^circ - 35^circ))/(cosec^2(90^circ - 80^circ) - tan^2 80^circ)`
= `(sin35^circ.sin35^circ + cos35^circ.cos35^circ)/(sec^2 80^circ - tan^2 80^circ)`
= `(sin^2 35^circ + cos^2 35^circ)/(sec^2 80^circ - tan^2 80^circ)`
= `1/1`
= 1
संबंधित प्रश्न
Express the following in terms of angle between 0° and 45°:
sin 59° + tan 63°
Evaluate:
`3 sin72^circ/(cos18^circ) - sec32^circ/(cosec58^circ)`
Use tables to find sine of 34° 42'
Use tables to find cosine of 65° 41’
Find the sine ratio of θ in standard position whose terminal arm passes through (3, 4)
If A + B = 90° and \[\tan A = \frac{3}{4}\]\[\tan A = \frac{3}{4}\] what is cot B?
If 5 tan θ − 4 = 0, then the value of \[\frac{5 \sin \theta - 4 \cos \theta}{5 \sin \theta + 4 \cos \theta}\] is:
If x sin (90° − θ) cot (90° − θ) = cos (90° − θ), then x =
\[\frac{2 \tan 30°}{1 - \tan^2 30°}\] is equal to ______.
Find the value of the following:
`((cos 47^circ)/(sin 43^circ))^2 + ((sin 72^circ)/(cos 18^circ))^2 - 2cos^2 45^circ`
