Advertisements
Advertisements
प्रश्न
Write the value of `(1 + tan^2 theta ) cos^2 theta`.
Advertisements
उत्तर
`(1+ tan^2 theta ) cos^2 theta `
= `sec^2 theta xx 1/ sec^2 theta`
=1
APPEARS IN
संबंधित प्रश्न
(secA + tanA) (1 − sinA) = ______.
Prove the following identities:
(1 – tan A)2 + (1 + tan A)2 = 2 sec2A
Prove the following identities:
cosec4 A – cosec2 A = cot4 A + cot2 A
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = cosec A - cot A`
`sin theta / ((1+costheta))+((1+costheta))/sin theta=2cosectheta`
Show that none of the following is an identity:
(i) `cos^2theta + cos theta =1`
If` (sec theta + tan theta)= m and ( sec theta - tan theta ) = n ,` show that mn =1
If \[\sin \theta = \frac{1}{3}\] then find the value of 2cot2 θ + 2.
If a cos θ + b sin θ = m and a sin θ − b cos θ = n, then a2 + b2 =
If cos \[9\theta\] = sin \[\theta\] and \[9\theta\] < 900 , then the value of tan \[6 \theta\] is
Prove the following identity :
`(1 - tanA)^2 + (1 + tanA)^2 = 2sec^2A`
Prove the following identity :
`sqrt((secq - 1)/(secq + 1)) + sqrt((secq + 1)/(secq - 1))` = 2 cosesq
Prove the following identity :
`2(sin^6θ + cos^6θ) - 3(sin^4θ + cos^4θ) + 1 = 0`
Find the value of `θ(0^circ < θ < 90^circ)` if :
`cos 63^circ sec(90^circ - θ) = 1`
Given `cos38^circ sec(90^circ - 2A) = 1` , Find the value of <A
Prove the following identities.
(sin θ + sec θ)2 + (cos θ + cosec θ)2 = 1 + (sec θ + cosec θ)2
Prove that sin4A – cos4A = 1 – 2 cos2A.
If 2 cos θ + sin θ = `1(θ ≠ π/2)`, then 7 cos θ + 6 sin θ is equal to ______.
`1/sin^2θ - 1/cos^2θ - 1/tan^2θ - 1/cot^2θ - 1/sec^2θ - 1/("cosec"^2θ) = -3`, then find the value of θ.
