Advertisements
Advertisements
प्रश्न
find the value of: cosec2 60° - tan2 30°
उत्तर
cosec2 60° – tan2 30° = `(2/sqrt3)^2 – (1/sqrt3)^2 = (4)/(3) – (1)/(3) = 1`
APPEARS IN
संबंधित प्रश्न
Find the value of x in the following :
tan 3x = sin 45º cos 45º + sin 30º
Evaluate the following:
`(cos 45°)/(sec 30° + cosec 30°)`
Evaluate the following:
`(5cos^2 60° + 4sec^2 30° - tan^2 45°)/(sin^2 30° + cos^2 30°)`
`(1- tan^2 45°)/(1+tan^2 45°)` = ______
Evaluate cos 48° − sin 42°
Evaluate the following :
`(cot 40^@)/cos 35^@ - 1/2 [(cos 35^@)/(sin 55^@)]`
Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°
tan 65° + cot 49°
Prove the following
sin θ sin (90° − θ) − cos θ cos (90° − θ) = 0
Evaluate:
`2/3 (cos^4 30° - sin^4 45°) - 3(sin^2 60° - sec^2 45°) + 1/4 cot^2 30°`.
Evaluate: `cos 58^@/sin 32^@ + sin 22^@/cos 68^@ - (cos 38^@ cosec 52^@)/(tan 18^@ tan 35^@ tan 60^@ tan 72^@ tan 65^@)`
Prove that
cosec (67° + θ) − sec (23° − θ) = 0
Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.
cot65° + tan49°
Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.
cosec54° + sin72°
prove that:
sin (2 × 30°) = `(2 tan 30°)/(1+tan^2 30°)`
ABC is an isosceles right-angled triangle. Assuming of AB = BC = x, find the value of each of the following trigonometric ratios: sin 45°
If sin x = cos x and x is acute, state the value of x
If `sqrt3` = 1.732, find (correct to two decimal place) the value of sin 60o
ABC is an isosceles right-angled triangle. Assuming of AB = BC = x, find the value of each of the following trigonometric ratio: cos 45°
If A =30o, then prove that :
cos 2A = cos2A - sin2A = `(1 – tan^2"A")/(1+ tan^2"A")`
If A = B = 45° ,
show that:
cos (A + B) = cos A cos B - sin A sin B
Without using tables, evaluate the following: sin60° sin30°+ cos30° cos60°
Without using tables, evaluate the following: sec30° cosec60° + cos60° sin30°.
Prove that : cos60° . cos30° - sin60° . sin30° = 0
If sinθ = cosθ and 0° < θ<90°, find the value of 'θ'.
If A = 30° and B = 60°, verify that: `(sin("A" + "B"))/(cos"A" . cos"B")` = tanA + tanB
If sin(A +B) = 1(A -B) = 1, find A and B.
In ΔABC right angled at B, ∠A = ∠C. Find the value of:
(i) sinA cosC + cosA sinC
(ii) sinA sinB + cosA cosB
Find the value of 8 sin 2x, cos 4x, sin 6x, when x = 15°
The value of `(1 - tan^2 45^circ)/(1 + tan^2 45^circ)` is
