Advertisements
Advertisements
प्रश्न
`(1 - tan^2 45^circ)/(1 + tan^2 45^circ)` = ?
Advertisements
उत्तर
`(1 - tan^2 45^circ)/(1 + tan^2 45^circ)`
= `(1 - (1)^2)/(1 + (1)^2)` ...[∵ tan 45° = 1]
= `(1 - 1)/(1 + 1)`
= `0/2`
= 0
संबंधित प्रश्न
Prove that `(sin theta)/(1-cottheta) + (cos theta)/(1 - tan theta) = cos theta + sin theta`
Prove the following trigonometric identities.
sec A (1 − sin A) (sec A + tan A) = 1
If x = a sec θ cos ϕ, y = b sec θ sin ϕ and z = c tan θ, show that `x^2/a^2 + y^2/b^2 - z^2/c^2 = 1`
Prove the following identities:
`1/(tan A + cot A) = cos A sin A`
Prove that:
cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A
`(1+tan^2theta)(1+cot^2 theta)=1/((sin^2 theta- sin^4theta))`
` (sin theta - cos theta) / ( sin theta + cos theta ) + ( sin theta + cos theta ) / ( sin theta - cos theta ) = 2/ ((2 sin^2 theta -1))`
If 5 `tan theta = 4,"write the value of" ((cos theta - sintheta))/(( cos theta + sin theta))`
If `cos B = 3/5 and (A + B) =- 90° ,`find the value of sin A.
Prove that `(sinθ - cosθ + 1)/(sinθ + cosθ - 1) = 1/(secθ - tanθ)`
If sin2 θ cos2 θ (1 + tan2 θ) (1 + cot2 θ) = λ, then find the value of λ.
Write True' or False' and justify your answer the following :
The value of the expression \[\sin {80}^° - \cos {80}^°\]
Prove the following identity :
`sqrt((secq - 1)/(secq + 1)) + sqrt((secq + 1)/(secq - 1))` = 2 cosesq
Find the value of `θ(0^circ < θ < 90^circ)` if :
`tan35^circ cot(90^circ - θ) = 1`
Prove that: `(1 + cot^2 θ/(1 + cosec θ)) = cosec θ`.
Prove the following identities.
sec6 θ = tan6 θ + 3 tan2 θ sec2 θ + 1
If cot θ + tan θ = x and sec θ – cos θ = y, then prove that `(x^2y)^(2/3) – (xy^2)^(2/3)` = 1
Prove that `cot^2 "A" [(sec "A" - 1)/(1 + sin "A")] + sec^2 "A" [(sin"A" - 1)/(1 + sec"A")]` = 0
Prove that `(sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ)`.
Proved that `(1 + secA)/secA = (sin^2A)/(1 - cos A)`.
