Advertisements
Advertisements
प्रश्न
Verify the following equalities:
sin2 60° + cos2 60° = 1
उत्तर
sin 60° = `sqrt(3)/2`, cos 60° = `1/2`
L.H.S = sin2 60° + cos2 60°
= `(sqrt(3)/2)^2 + (1/2)^2`
= `3/4 + 1/4`
= `4/4`
= 1
L.H.S = R.H.S
Hence it is proved.
APPEARS IN
संबंधित प्रश्न
An equilateral triangle is inscribed in a circle of radius 6 cm. Find its side.
find the value of: cos2 60° + sin2 30°
prove that:
tan (2 x 30°) = `(2 tan 30°)/(1– tan^2 30°)`
If A = 30°;
show that:
`(1 + sin 2"A" + cos 2"A")/(sin "A" + cos"A") = 2 cos "A"`
Without using tables, evaluate the following: (sin90° + sin45° + sin30°)(sin90° - cos45° + cos60°).
If sinθ = cosθ and 0° < θ<90°, find the value of 'θ'.
If A = 30° and B = 60°, verify that: `(sin("A" -"B"))/(sin"A" . sin"B")` = cotB - cotA
If A = B = 45°, verify that sin (A - B) = sin A .cos B - cos A.sin B
Verify the following equalities:
sin 30° cos 60° + cos 30° sin 60° = sin 90°
Find the value of x if `2 "cosec"^2 30 + x sin^2 60 - 3/4 tan^2 30` = 10