Advertisements
Advertisements
प्रश्न
sec2θ – tan2θ = ?
विकल्प
0
1
2
`sqrt(2)`
Advertisements
उत्तर
1
Explanation:
1 + tan2θ = sec2θ
∵ sec2θ – tan2θ = 1
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`sin A/(sec A + tan A - 1) + cos A/(cosec A + cot A + 1) = 1`
Prove that:
2 sin2 A + cos4 A = 1 + sin4 A
If m = a sec A + b tan A and n = a tan A + b sec A, then prove that : m2 – n2 = a2 – b2
Prove the following identities:
`cosecA - cotA = sinA/(1 + cosA)`
Prove the following identities:
`sinA/(1 - cosA) - cotA = cosecA`
`cosec theta (1+costheta)(cosectheta - cot theta )=1`
`(sectheta- tan theta)/(sec theta + tan theta) = ( cos ^2 theta)/( (1+ sin theta)^2)`
`(sin theta)/((sec theta + tan theta -1)) + cos theta/((cosec theta + cot theta -1))=1`
What is the value of (1 + cot2 θ) sin2 θ?
9 sec2 A − 9 tan2 A is equal to
Prove the following identity :
`sec^4A - sec^2A = sin^2A/cos^4A`
Prove the following identity :
`[1/((sec^2θ - cos^2θ)) + 1/((cosec^2θ - sin^2θ))](sin^2θcos^2θ) = (1 - sin^2θcos^2θ)/(2 + sin^2θcos^2θ)`
If tan θ = 2, where θ is an acute angle, find the value of cos θ.
Prove that ( 1 + tan A)2 + (1 - tan A)2 = 2 sec2A
Prove the following identities.
`sqrt((1 + sin theta)/(1 - sin theta)` = sec θ + tan θ
If x sin3 θ + y cos3 θ = sin θ cos θ and x sin θ = y cos θ, then prove that x2 + y2 = 1
`sin θ = 1/2`, then θ = ?
Prove that sec2θ + cosec2θ = sec2θ × cosec2θ.
Prove that sin4A – cos4A = 1 – 2 cos2A.
