Advertisements
Advertisements
प्रश्न
If 0° < A < 90°; find A, if `(cos A )/(1 - sin A) + (cos A)/(1 + sin A) = 4`
Advertisements
उत्तर
`(cos A )/(1 - sin A) + (cos A)/(1 + sin A) = 4`
`=> (cos A + cos A sin A + cos A - sin A cos A)/((1 - sin A)(1 + sin A)) = 4`
`=> (2 cos A)/(1 - sin^2 A) = 4`
`=> (2 cos A)/(cos^2 A) = 4`
`=> 1/cos A = 2`
`=> cos A = 1/2`
We know `cos 60^circ = 1/2`
Hence, A = 60°
APPEARS IN
संबंधित प्रश्न
If `cosθ=1/sqrt(2)`, where θ is an acute angle, then find the value of sinθ.
Evaluate cosec 31° − sec 59°
Prove the following trigonometric identities.
(cosecA − sinA) (secA − cosA) (tanA + cotA) = 1
Show that : `sin26^circ/sec64^circ + cos26^circ/(cosec64^circ) = 1`
Evaluate:
`(sin35^circ cos55^circ + cos35^circ sin55^circ)/(cosec^2 10^circ - tan^2 80^circ)`
Use tables to find cosine of 65° 41’
Use tables to find the acute angle θ, if the value of tan θ is 0.4741
The value of cos2 17° − sin2 73° is
Find the value of the following:
tan 15° tan 30° tan 45° tan 60° tan 75°
Prove the following:
tan θ + tan (90° – θ) = sec θ sec (90° – θ)
