Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
`(sin("A" - "B"))/(cos"A" cos"B") + (sin("B" - "C"))/(cos"B" cos"C") + (sin("C" - "A"))/(cos"C" cos"A")` is
पर्याय
sin A + sin B + sin C
1
0
cos A + cos B + cos C
उत्तर
0
APPEARS IN
संबंधित प्रश्न
`(5/7, (2sqrt(6))/7)` is a point on the terminal side of an angle θ in standard position. Determine the six trigonometric function values of angle θ
Find all the angles between 0° and 360° which satisfy the equation sin2θ = `3/4`
Find the value of tan `(7pi)/12`
Prove that sin(π + θ) = − sin θ.
Prove that sin(30° + θ) + cos(60° + θ) = cos θ
Prove that cos(A + B) cos C – cos(B + C) cos A = sin B sin(C – A)
Show that tan(45° + A) = `(1 + tan"A")/(1 - tan"A")`
Find the value of tan(α + β), given that cot α = `1/2`, α ∈ `(pi, (3pi)/2)` and sec β = `- 5/3` β ∈ `(pi/2, pi)`
Express the following as a sum or difference
sin 35° cos 28°
Express the following as a sum or difference
sin 4x cos 2x
Express the following as a sum or difference
sin 5θ sin 4θ
Show that `(sin 8x cos x - sin 6x cos 3x)/(cos 2x cos x - sin 3x sin 4x)` = tan 2x
Prove that `(sin 4x + sin 2x)/(cos 4x + cos 2x)` = tan 3x
Prove that 1 + cos 2x + cos 4x + cos 6x = 4 cos x cos 2x cos 3x
Prove that `(sin x + sin 3x + sin 5x + sin 7x)/(cos x + cos x + cos 5x cos 7x)` = tan 4x
If A + B + C = 180◦, prove that sin 2A + sin 2B + sin 2C = 4 sin A sin B sin C
If A + B + C = 180°, prove that sin(B + C − A) + sin(C + A − B) + sin(A + B − C) = 4 sin A sin B sin C
If ∆ABC is a right triangle and if ∠A = `pi/2` then prove that sin2 B + sin2 C = 1
If ∆ABC is a right triangle and if ∠A = `pi/2` then prove that cos B – cos C = `- 1 + 2sqrt(2) cos "B"/2 sin "C"/2`