Advertisements
Advertisements
प्रश्न
Evaluate:
`cot^2 30^0-2cos^2 30^0-3/4 sec^2 45^0 +1/4 cosec^2 30^0`
उत्तर
On substituting the values of various T-ratios, we get:
`cot^2 30^0-2cos^2 30^0-3/4 sec^2 45^0 +1/4 cosec^2 30^0`
=`(sqrt(3))^2 - 2 xx(sqrt(3)/2)^2 - 3/4 xx(sqrt(2))^2+1/4xx(2)^2`
=`3-2xx3/4-3/4xx2+1/4xx4`
=`3-3/2-3/2+1`
=`4-(3/2+3/2)`
`=4-3=1`
APPEARS IN
संबंधित प्रश्न
In rectangle ABCD AB = 20cm ∠BAC = 60° BC, calculate side BC and diagonals AC and BD.
If sin θ = ` (a^2 - b^2)/(a^2+b^2)`find all the values of all T-ratios of θ .
If ∠A and ∠B are acute angles such that tan A= Tan B then prove that ∠A = ∠B
Evaluate:
`(5 cos^2 60^circ + 4 sec^2 30^circ - tan^2 45^circ)/(sin^2 30^circ + cos^2 30^circ)`
From the following figure, find the values of :
(i) sin A
(ii) sec A
(iii) cos2 A + sin2A
Given: sin θ = `p/q`.
Find cos θ + sin θ in terms of p and q.
If cos A = `(1)/(2)` and sin B = `(1)/(sqrt2)`, find the value of: `(tan"A" – tan"B")/(1+tan"A" tan"B")`.
Are angles A and B from the same triangle? Explain.
In each of the following, one trigonometric ratio is given. Find the values of the other trigonometric.
cotA = `(1)/(11)`
In each of the following, one trigonometric ratio is given. Find the values of the other trigonometric.
sinB = `sqrt(3)/(2)`
In ΔABC, ∠A = 90°. If AB = 5 units and AC = 12 units, find: sinB
