Advertisements
Advertisements
प्रश्न
Prove the following Identities :
`(cosecA)/(cotA+tanA)=cosA`
Advertisements
उत्तर
`(cosecA)/(cotA+tanA)=cosA`
= LHS
= `(cosecA)/(cotA+tanA)`
= `(cosecA)/(cosA/sinA+sinA/cosA)`
=`((cosecA)/(cos^2A+sin^2A))/(sinA.cosA)`
= `(1/sinA)/(1/(sinA.cosA))`
= `(sinA.cosA)/sinA`
= cosA
= RHS
APPEARS IN
संबंधित प्रश्न
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 - x^2/c^2 = 1`
Prove that:
`(sinA - sinB)/(cosA + cosB) + (cosA - cosB)/(sinA + sinB) = 0`
If \[\sin \theta = \frac{4}{5}\] what is the value of cotθ + cosecθ?
If cos (\[\alpha + \beta\]= 0 , then sin \[\left( \alpha - \beta \right)\] can be reduced to
Prove the following identity :
`cos^4A - sin^4A = 2cos^2A - 1`
Prove the following identity :
`(cotA + cosecA - 1)/(cotA - cosecA + 1) = (cosA + 1)/sinA`
If x = asecθ + btanθ and y = atanθ + bsecθ , prove that `x^2 - y^2 = a^2 - b^2`
If tan θ = 2, where θ is an acute angle, find the value of cos θ.
If x sin3θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ , then show that x2 + y2 = 1.
(1 + sin A)(1 – sin A) is equal to ______.
