Advertisements
Advertisements
प्रश्न
If tanθ `= 3/4` then find the value of secθ.
Advertisements
उत्तर
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
संबंधित प्रश्न
If tanθ + sinθ = m and tanθ – sinθ = n, show that `m^2 – n^2 = 4\sqrt{mn}.`
Prove the following identities, where the angles involved are acute angles for which the expressions are defined:
`(1+ secA)/sec A = (sin^2A)/(1-cosA)`
[Hint : Simplify LHS and RHS separately.]
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:
`(sec A - 1)/(sec A + 1) = (1 - cos A)/(1 + cos A)`
Prove the following identities:
`(1 - sinA)/(1 + sinA) = (secA - tanA)^2`
Prove that:
`(sinA - sinB)/(cosA + cosB) + (cosA - cosB)/(sinA + sinB) = 0`
Prove that:
cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A
`(1+tan^2theta)(1+cot^2 theta)=1/((sin^2 theta- sin^4theta))`
Prove that `( sintheta - 2 sin ^3 theta ) = ( 2 cos ^3 theta - cos theta) tan theta`
\[\frac{\sin \theta}{1 + \cos \theta}\]is equal to
If a cos θ + b sin θ = m and a sin θ − b cos θ = n, then a2 + b2 =
The value of sin ( \[{45}^° + \theta) - \cos ( {45}^°- \theta)\] is equal to
If secθ + tanθ = m , secθ - tanθ = n , prove that mn = 1
Without using trigonometric identity , show that :
`cos^2 25^circ + cos^2 65^circ = 1`
Prove that `sin^2 θ/ cos^2 θ + cos^2 θ/sin^2 θ = 1/(sin^2 θ. cos^2 θ) - 2`.
Prove the following identities:
`(1 - tan^2 θ)/(cot^2 θ - 1) = tan^2 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
Prove that `(1 + sin θ)/(1 - sin θ) = (sec θ + tan θ)^2`.
The value of 2sinθ can be `a + 1/a`, where a is a positive number, and a ≠ 1.
Prove that `(1 + sec theta - tan theta)/(1 + sec theta + tan theta) = (1 - sin theta)/cos theta`
