Advertisements
Advertisements
प्रश्न
Prove the following identity :
`(1 + cotA)^2 + (1 - cotA)^2 = 2cosec^2A`
Advertisements
उत्तर
`(1 + cotA)^2 + (1 - cotA)^2`
= `1 + cot^2A + 2cotA + 1 + cot^2A - 2cotA`
= `2 + 2cot^2A = 2(1 + cot^2A)`
= `2cosec^2A`
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`tan theta - cot theta = (2 sin^2 theta - 1)/(sin theta cos theta)`
Prove the following trigonometric identities.
(1 + cot A − cosec A) (1 + tan A + sec A) = 2
`(1+ cos theta - sin^2 theta )/(sin theta (1+ cos theta))= cot theta`
From the figure find the value of sinθ.
Prove the following identity :
`sqrt((1 + sinq)/(1 - sinq)) + sqrt((1- sinq)/(1 + sinq))` = 2secq
prove that `1/(1 + cos(90^circ - A)) + 1/(1 - cos(90^circ - A)) = 2cosec^2(90^circ - A)`
Prove that:
tan (55° + x) = cot (35° – x)
Choose the correct alternative:
cot θ . tan θ = ?
Prove that sin θ (1 – tan θ) – cos θ (1 – cot θ) = cosec θ – sec θ
Simplify (1 + tan2θ)(1 – sinθ)(1 + sinθ)
