Advertisements
Advertisements
प्रश्न
Prove the following: sin230° + cos230° = `(1)/(2)sec60°`
Advertisements
उत्तर
L.H.S.
= sin230° + cos230°
= `(1/2)^2 + (sqrt(3)/2)^2`
= `(1)/(4) + (3)/(4)`
= `(4)/(4)`
= 1
= `(1)/(2) xx sec60°`
= R.H.S.
APPEARS IN
संबंधित प्रश्न
State for any acute angle θ whether tan θ increases or decreases as θ decreases.
Solve the following equation for A, if tan 3 A = 1
If θ = 30°, verify that: sin2θ = `(2tanθ)/(1 ++ tan^2θ)`
If A = B = 60°, verify that: tan(A - B) = `(tan"A" - tan"B")/(1 + tan"A" tan"B"")`
Find:
a. BC
b. AD
c. AC
Find the value 'x', if:
Evaluate the following: cot27° - tan63°
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin53° + sec66° - sin50°
If cos3θ = sin(θ - 34°), find the value of θ if 3θ is an acute angle.
If sin(θ - 15°) = cos(θ - 25°), find the value of θ if (θ-15°) and (θ - 25°) are acute angles.
