Advertisements
Advertisements
प्रश्न
tan θ cosec2 θ – tan θ is equal to
पर्याय
sec θ
cot2 θ
sin θ
cot θ
Advertisements
उत्तर
cot θ
Explanation;
Hint:
tan θ cosec2 θ – tan θ = tan θ (cosec2 θ – 1)
= `tan theta xx cot^2 theta`
= `1/cot theta xx cot^2 theta`
= cot θ
APPEARS IN
संबंधित प्रश्न
Show that `sqrt((1+cosA)/(1-cosA)) = cosec A + cot A`
Prove the following trigonometric identities
(1 + cot2 A) sin2 A = 1
If 3 sin θ + 5 cos θ = 5, prove that 5 sin θ – 3 cos θ = ± 3.
Prove that:
`cosA/(1 + sinA) = secA - tanA`
`1/((1+ sin θ)) + 1/((1 - sin θ)) = 2 sec^2 θ`
There are two poles, one each on either bank of a river just opposite to each other. One pole is 60 m high. From the top of this pole, the angle of depression of the top and foot of the other pole are 30° and 60° respectively. Find the width of the river and height of the other pole.
Prove that tan2Φ + cot2Φ + 2 = sec2Φ.cosec2Φ.
Prove that:
`(sin A + cos A)/(sin A - cos A) + (sin A - cos A)/(sin A + cos A) = 2/(2 sin^2 A - 1)`
If A + B = 90°, show that `(sin B + cos A)/sin A = 2tan B + tan A.`
If 5 sec θ – 12 cosec θ = 0, then find values of sin θ, sec θ.
