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प्रश्न
find the value of: tan 30° tan 60°
उत्तर
tan 30° tan 60° = `(1)/(sqrt3)(sqrt3) = 1`
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संबंधित प्रश्न
Evaluate the following in the simplest form:
sin 60° cos 30° + cos 60° sin 30°
Show that:
(i) `2(cos^2 45º + tan^2 60º) – 6(sin^2 45º – tan^2 30º) = 6`
(ii) `2(cos^4 60º + sin^4 30º) – (tan^2 60º + cot^2 45º) + 3 sec^2 30º = 1/4`
Find the value of θ in each of the following :
(i) 2 sin 2θ = √3 (ii) 2 cos 3θ = 1
If tan (A + B) = `sqrt3` and tan (A – B) = `1/sqrt3`; 0° < A + B ≤ 90°; A > B, find A and B.
`(1- tan^2 45°)/(1+tan^2 45°)` = ______
Evaluate the following :
cosec 31° − sec 59°
Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°
sin 67° + cos 75°
Prove that `sin 70^@/cos 20^@ + (cosec 20^@)/sec 70^@ - 2 cos 20^@ cosec 20^@ = 0`
Prove the following :
`(cos(90°−A) sin(90°−A))/tan(90°−A) - sin^2 A = 0`
Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.
sin67° + cos75°
Prove that:
sin 60° cos 30° + cos 60° . sin 30° = 1
If `sqrt3` = 1.732, find (correct to two decimal place) the value of sin 60o
If A = B = 45° ,
show that:
sin (A - B) = sin A cos B - cos A sin B
If A = 30°;
show that:
sin 3 A = 4 sin A sin (60° - A) sin (60° + A)
find the value of: cos2 60° + sec2 30° + tan2 45°
find the value of :
3sin2 30° + 2tan2 60° - 5cos2 45°
Prove that:
cosec2 45° - cot2 45° = 1
Prove that:
3 cosec2 60° - 2 cot2 30° + sec2 45° = 0
Given A = 60° and B = 30°,
prove that : cos (A + B) = cos A cos B - sin A sin B
If A = B = 45° ,
show that:
cos (A + B) = cos A cos B - sin A sin B
If A = 30°;
show that:
`(1 – cos 2"A")/(sin 2"A") = tan"A"`
If A = 30°;
show that:
4 cos A cos (60° - A). cos (60° + A) = cos 3A
Without using tables, evaluate the following: tan230° + tan260° + tan245°
Without using tables, find the value of the following: `(sin30°)/(sin45°) + (tan45°)/(sec60°) - (sin60°)/(cot45°) - (cos30°)/(sin90°)`
Prove that : sec245° - tan245° = 1
Find the value of x in the following: cos2x = cos60° cos30° + sin60° sin30°
If A = 30° and B = 60°, verify that: sin (A + B) = sin A cos B + cos A sin B
