Advertisements
Advertisements
प्रश्न
find the value of: sin 30° cos 30°
उत्तर
sin 30° cos 30° = `(1)/(2).(sqrt3)/(2)=(sqrt3)/(4)`
APPEARS IN
संबंधित प्रश्न
Evaluate the following in the simplest form:
sin 60° cos 30° + cos 60° sin 30°
Evaluate the following expression:
(i) `tan 60º cosec^2 45º + sec^2 60º tan 45º`
(ii) `4cot^2 45º – sec^2 60º + sin^2 60º + cos^2 90º.`
Evaluate the following:
`(5cos^2 60° + 4sec^2 30° - tan^2 45°)/(sin^2 30° + cos^2 30°)`
`(2 tan 30°)/(1+tan^2 30°)` = ______.
`(1- tan^2 45°)/(1+tan^2 45°)` = ______
State whether the following is true or false. Justify your answer.
sinθ = cosθ for all values of θ.
Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°
sin 67° + cos 75°
Prove that `cos 80^@/sin 10^@ + cos 59^@ cosec 31^@ = 2`
Evaluate: tan 7° tan 23° tan 60° tan 67° tan 83°
Without using trigonometric tables, prove that:
cos54° cos36° − sin54° sin36° = 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
ABC is an isosceles right-angled triangle. Assuming of AB = BC = x, find the value of each of the following trigonometric ratio: cos 45°
secθ . Cot θ= cosecθ ; write true or false
If A = 30°;
show that:
`(cos^3"A" – cos 3"A")/(cos "A") + (sin^3"A" + sin3"A")/(sin"A") = 3`
Without using tables, evaluate the following: cosec330° cos60° tan345° sin290° sec245° cot30°.
Without using table, find the value of the following:
`(sin30° - sin90° + 2cos0°)/(tan30° tan60°)`
Prove that: `((cot30° + 1)/(cot30° -1))^2 = (sec30° + 1)/(sec30° - 1)`
Without using table, find the value of the following: `(tan^2 60° + 4cos^2 45° + 3sec^2 30° + 5cos90°)/(cosec30° + sec60° - cot^2 30°)`
If tan(A - B) = `(1)/sqrt(3)` and tan(A + B) = `sqrt(3)`, 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
Verify the following equalities:
cos 90° = 1 – 2sin2 45° = 2cos2 45° – 1
Find the value of the following:
`(tan45^circ)/("cosec"30^circ) + (sec60^circ)/(cot45^circ) - (5sin90^circ)/(2cos0^circ)`
Find the value of 8 sin 2x, cos 4x, sin 6x, when x = 15°
If 2 sin 2θ = `sqrt(3)` then the value of θ is
If sin α = `1/2`, then find the value of (3 cos α – 4 cos3 α).
`(2/3 sin 0^circ - 4/5 cos 0^circ)` is equal to ______.
Find the value of x if `2 "cosec"^2 30 + x sin^2 60 - 3/4 tan^2 30` = 10
Evaluate: `(5cos^2 60° + 4sec^2 30° - tan^2 45°)/(sin^2 30° + sin^2 60°)`
