Advertisements
Advertisements
प्रश्न
Prove the following identities:
cosec4 A – cosec2 A = cot4 A + cot2 A
Advertisements
उत्तर
L.H.S. = cosec4 A – cosec2 A
= cosec2 A (cosec2 A – 1)
R.H.S. = cot4 A + cot2 A
= cot2 A (cot2 A + 1)
= (cosec2 A – 1) cosec2 A
Thus, L.H.S. = R.H.S.
संबंधित प्रश्न
Prove the following trigonometric identities
`cos theta/(1 - sin theta) = (1 + sin theta)/cos theta`
Prove the following trigonometric identities.
if `T_n = sin^n theta + cos^n theta`, prove that `(T_3 - T_5)/T_1 = (T_5 - T_7)/T_3`
Prove the following identities:
`cot^2A/(cosecA + 1)^2 = (1 - sinA)/(1 + sinA)`
` tan^2 theta - 1/( cos^2 theta )=-1`
Write the value of `( 1- sin ^2 theta ) sec^2 theta.`
Write the value of tan10° tan 20° tan 70° tan 80° .
If sin θ = `11/61`, find the values of cos θ using trigonometric identity.
Prove the following identity :
`(1 - cos^2θ)sec^2θ = tan^2θ`
Prove the following identity :
`1/(cosA + sinA - 1) + 2/(cosA + sinA + 1) = cosecA + secA`
Prove the following:
`sintheta/(1 + cos theta) + (1 + cos theta)/sintheta` = 2cosecθ
