Advertisements
Advertisements
प्रश्न
Prove that:
`1/(1 + sin(90^@ - A)) + 1/(1 - sin(90^@ - A)) = 2sec^2(90^@ - A)`
Advertisements
उत्तर
`1/(1 + sin(90^@ - A)) + 1/(1 - sin(90^@ - A))`
= `1/(1 + cosA) + 1/(1 - cosA)`
= `(1 - cosA + 1 + cosA)/((1 + cosA)(1 - cosA))`
= `2/(1 - cos^2A)`
= 2 cosec2 A
= 2 sec2 (90° – A)
APPEARS IN
संबंधित प्रश्न
If the angle θ = -60° , find the value of sinθ .
If A, B, C are the interior angles of a triangle ABC, prove that `\tan \frac{B+C}{2}=\cot \frac{A}{2}`
Prove the following trigonometric identities.
(cosecθ + sinθ) (cosecθ − sinθ) = cot2 θ + cos2θ
if `sin theta = 1/sqrt2` find all other trigonometric ratios of angle θ.
if `tan theta = 12/5` find the value of `(1 + sin theta)/(1 -sin theta)`
Find the value of x, if cos x = cos 60° cos 30° – sin 60° sin 30°
Evaluate:
`(sin35^circ cos55^circ + cos35^circ sin55^circ)/(cosec^2 10^circ - tan^2 80^circ)`
If 3 cos θ = 5 sin θ, then the value of
If 5θ and 4θ are acute angles satisfying sin 5θ = cos 4θ, then 2 sin 3θ −\[\sqrt{3} \tan 3\theta\] is equal to
The value of 3 sin 70° sec 20° + 2 sin 49° sec 51° is
