Advertisements
Advertisements
प्रश्न
tan θ cosec2 θ – tan θ is equal to
पर्याय
sec θ
cot2 θ
sin θ
cot θ
Advertisements
उत्तर
cot θ
Explanation;
Hint:
tan θ cosec2 θ – tan θ = tan θ (cosec2 θ – 1)
= `tan theta xx cot^2 theta`
= `1/cot theta xx cot^2 theta`
= cot θ
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`(cos^2 theta)/sin theta - cosec theta + sin theta = 0`
`(sec theta + tan theta )/( sec theta - tan theta ) = ( sec theta + tan theta )^2 = 1+2 tan^2 theta + 25 sec theta tan theta `
`(1+ tan theta + cot theta )(sintheta - cos theta) = ((sec theta)/ (cosec^2 theta)-( cosec theta)/(sec^2 theta))`
Prove the following identity :
`(secA - 1)/(secA + 1) = (1 - cosA)/(1 + cosA)`
Prove the following identity :
`(tanθ + sinθ)/(tanθ - sinθ) = (secθ + 1)/(secθ - 1)`
If secθ + tanθ = m , secθ - tanθ = n , prove that mn = 1
`(sin A)/(1 + cos A) + (1 + cos A)/(sin A)` = 2 cosec A
Without using a trigonometric table, prove that
`(cos 70°)/(sin 20°) + (cos 59°)/(sin 31°) - 8sin^2 30° = 0`.
Prove that sec2θ + cosec2θ = sec2θ × cosec2θ
If cos 9α = sinα and 9α < 90°, then the value of tan5α is ______.
