Advertisements
Advertisements
प्रश्न
If `tan A = 5/12`, find the value of (sin A + cos A) sec A.
Advertisements
उत्तर
(sin A + cos A) sec A
= `( sinA + cos A ) 1/ cos A`
=`(sinA )/( cos A) + ( cos A)/( cos A)`
= tan A + 1
= `5/12 +1/1`
=` (5+12)/12`
=`17/12`
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`tan theta + 1/tan theta` = sec θ.cosec θ
Prove the following trigonometric identities.
`(cot A - cos A)/(cot A + cos A) = (cosec A - 1)/(cosec A + 1)`
Prove the following identities:
`(1 + sin A)/(1 - sin A) = (cosec A + 1)/(cosec A - 1)`
Prove the following identities:
(cosec A + sin A) (cosec A – sin A) = cot2 A + cos2 A
`(sec^2 theta -1)(cosec^2 theta - 1)=1`
`((sin A- sin B ))/(( cos A + cos B ))+ (( cos A - cos B ))/(( sinA + sin B ))=0`
Write the value of `(1 + tan^2 theta ) cos^2 theta`.
If sin θ = `11/61`, find the values of cos θ using trigonometric identity.
If sin θ − cos θ = 0 then the value of sin4θ + cos4θ
Prove the following identity :
`(sec^2θ - sin^2θ)/tan^2θ = cosec^2θ - cos^2θ`
For ΔABC , prove that :
`sin((A + B)/2) = cos"C/2`
Prove that:
`(cot A - 1)/(2 - sec^2 A) = cot A/(1 + tan A)`
If x = a sec θ + b tan θ and y = a tan θ + b sec θ prove that x2 - y2 = a2 - b2.
Prove that cot θ. tan (90° - θ) - sec (90° - θ). cosec θ + 1 = 0.
If `cos θ = 24/25`, then sin θ = ?
If tan θ + cot θ = 2, then tan2θ + cot2θ = ?
Prove the following:
(sin α + cos α)(tan α + cot α) = sec α + cosec α
If 2 cos θ + sin θ = `1(θ ≠ π/2)`, then 7 cos θ + 6 sin θ is equal to ______.
sec θ when expressed in term of cot θ, is equal to ______.
Statement 1: sin2θ + cos2θ = 1
Statement 2: cosec2θ + cot2θ = 1
Which of the following is valid?
