Advertisements
Advertisements
प्रश्न
Write the value of ` sec^2 theta ( 1+ sintheta )(1- sintheta).`
Advertisements
उत्तर
`sec^2 theta (1+ sin theta ) (1- sin theta)`
=`sec^2 theta (1 - sin^2 theta)`
=`1/ cos^2 theta xx cos^2 theta`
= 1
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`((1 + tan^2 theta)cot theta)/(cosec^2 theta) = tan theta`
Prove the following trigonometric identities.
`(cot A - cos A)/(cot A + cos A) = (cosec A - 1)/(cosec A + 1)`
Prove the following trigonometric identities.
`(cos theta - sin theta + 1)/(cos theta + sin theta - 1) = cosec theta + cot theta`
if `cosec theta - sin theta = a^3`, `sec theta - cos theta = b^3` prove that `a^2 b^2 (a^2 + b^2) = 1`
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = cosec A - cot A`
If x cos A + y sin A = m and x sin A – y cos A = n, then prove that : x2 + y2 = m2 + n2
Write the value of `cosec^2 theta (1+ cos theta ) (1- cos theta).`
Prove that:
`(sin^2θ)/(cosθ) + cosθ = secθ`
Write True' or False' and justify your answer the following :
The value of sin θ+cos θ is always greater than 1 .
(sec A + tan A) (1 − sin A) = ______.
Prove the following identity :
`cosecA + cotA = 1/(cosecA - cotA)`
Prove that `sqrt((1 - sin θ)/(1 + sin θ)) = sec θ - tan θ`.
Prove that `sqrt((1 + cos A)/(1 - cos A)) = (tan A + sin A)/(tan A. sin A)`
Prove that cos θ sin (90° - θ) + sin θ cos (90° - θ) = 1.
If `(cos alpha)/(cos beta)` = m and `(cos alpha)/(sin beta)` = n, then prove that (m2 + n2) cos2 β = n2
Choose the correct alternative:
1 + cot2θ = ?
Prove that `(sintheta + "cosec" theta)/sin theta` = 2 + cot2θ
`sqrt((1 - cos^2theta) sec^2 theta) = tan theta`
If `sqrt(3) tan θ` = 1, then find the value of sin2θ – cos2θ.
Proved that `(1 + secA)/secA = (sin^2A)/(1 - cos A)`.
