Advertisements
Advertisements
प्रश्न
Prove the following identity :
sinθcotθ + sinθcosecθ = 1 + cosθ
Advertisements
उत्तर
sinθcotθ + sinθcosecθ = 1 + cosθ
LHS = `sinθcosθ/sinθ + sinθ1/sinθ`
= cosθ + 1 = RHS
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`tan A/(1 + tan^2 A)^2 + cot A/((1 + cot^2 A)) = sin A cos A`
If cos θ + cot θ = m and cosec θ – cot θ = n, prove that mn = 1
Prove that:
2 sin2 A + cos4 A = 1 + sin4 A
Prove that:
`(cosecA - sinA)(secA - cosA) = 1/(tanA + cotA)`
If x = a cos θ and y = b sin θ, then b2x2 + a2y2 =
If cos \[9\theta\] = sin \[\theta\] and \[9\theta\] < 900 , then the value of tan \[6 \theta\] is
Prove the following identity :
`sin^2Acos^2B - cos^2Asin^2B = sin^2A - sin^2B`
Prove the following identity :
`(cosA + sinA)^2 + (cosA - sinA)^2 = 2`
Prove the following identity :
`(cosecA)/(cosecA - 1) + (cosecA)/(cosecA + 1) = 2sec^2A`
Prove that `[(1 + sin theta - cos theta)/(1 + sin theta + cos theta)]^2 = (1 - cos theta)/(1 + cos theta)`
