Advertisements
Advertisements
Question
If tanθ `= 3/4` then find the value of secθ.
Advertisements
Solution
If tanθ = 34
1 + tan2θ = sec2θ
∴ 1 + `(3/4)^2= sec^2θ`
∴ `1 + 9/16 = sec^2θ`
∴ `25/16 = sec^2θ`
∴ `secθ = 5/4`
APPEARS IN
RELATED QUESTIONS
If cosθ + sinθ = √2 cosθ, show that cosθ – sinθ = √2 sinθ.
If acosθ – bsinθ = c, prove that asinθ + bcosθ = `\pm \sqrt{a^{2}+b^{2}-c^{2}`
Prove the following trigonometric identities.
`(tan A + tan B)/(cot A + cot B) = tan A tan B`
Prove the following identities:
`((1 + tan^2A)cotA)/(cosec^2A) = tan A`
Prove that:
(1 + tan A . tan B)2 + (tan A – tan B)2 = sec2 A sec2 B
`sin theta/((cot theta + cosec theta)) - sin theta /( (cot theta - cosec theta)) =2`
Write the value of tan10° tan 20° tan 70° tan 80° .
If `cosec theta = 2x and cot theta = 2/x ," find the value of" 2 ( x^2 - 1/ (x^2))`
Simplify : 2 sin30 + 3 tan45.
If x = a sin θ and y = b cos θ, what is the value of b2x2 + a2y2?
If cos \[9\theta\] = sin \[\theta\] and \[9\theta\] < 900 , then the value of tan \[6 \theta\] is
Prove the following identity :
`1/(sinA + cosA) + 1/(sinA - cosA) = (2sinA)/(1 - 2cos^2A)`
If secθ + tanθ = m , secθ - tanθ = n , prove that mn = 1
Find the value of `θ(0^circ < θ < 90^circ)` if :
`cos 63^circ sec(90^circ - θ) = 1`
Prove that: `(sin A + cos A)/(sin A - cos A) + (sin A - cos A)/(sin A + cos A) = 2/(sin^2 A - cos^2 A)`.
Choose the correct alternative:
sec 60° = ?
Prove that
sin2A . tan A + cos2A . cot A + 2 sin A . cos A = tan A + cot A
If 1 + sin2α = 3 sinα cosα, then values of cot α are ______.
If sinθ – cosθ = 0, then the value of (sin4θ + cos4θ) is ______.
If 2sin2θ – cos2θ = 2, then find the value of θ.
