Advertisements
Advertisements
प्रश्न
If A = B = 60°, verify that: tan(A - B) = `(tan"A" - tan"B")/(1 + tan"A" tan"B"")`
Advertisements
उत्तर
tan(A - B) = `(tan"A" - tan"B")/(1 + tan"A" tan"B"")`
L.H.S. :
tan(A - B) = tan(60° - 60°) - tan0° = 0
R.H.S. :
`(tan"A" - tan"B")/(1 + tan"A" tan"B"")`
= `(tan 60° - tan60°)/(1 + tan60° tan60°)`
= `(sqrt(3) - sqrt(3))/(1 + sqrt(3) xx sqrt(3)`
= 0
L.H.S = R.H.S.
Therefore,
tan(A - B) = `(tan"A" - tan"B")/(1 + tan"A" tan"B"")`.
APPEARS IN
संबंधित प्रश्न
If 4 sin2 θ – 1 = 0 and angle θ is less than 90°, find the value of θ and hence the value of cos2 θ + tan2 θ.
Use the given figure to find:
(i) tan θ°
(ii) θ°
(iii) sin2θ° - cos2θ°
(iv) Use sin θ° to find the value of x.
Solve the following equation for A, if tan 3 A = 1
Calculate the value of A, if (tan A - 1) (cosec 3A - 1) = 0
Find the value of 'A', if 2 cos A = 1
If `sqrt(2) = 1.414 and sqrt(3) = 1.732`, find the value of the following correct to two decimal places tan60°
Find lengths of diagonals AC and BD. Given AB = 24 cm and ∠BAD = 60°.
Evaluate the following: `(2sin25° sin35° sec55° sec65°)/(5tan 29° tan45° tan61°) + (3cos20° cos50° cot70° cot40°)/(5tan20° tan50° sin70° sin40°)`
If tan4θ = cot(θ + 20°), find the value of θ if 4θ is an acute angle.
If secθ= cosec30° and θ is an acute angle, find the value of 4 sin2θ - 2 cos2θ.
