Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
`(1 + cos pi/8) (1 + cos (3pi)/8) (1 + cos (5pi)/8) (1 + cos (7pi)/8)` =
विकल्प
`1/8`
`1/2`
`1/sqrt(3)`
`1/sqrt(2)`
Advertisements
उत्तर
`1/8`
APPEARS IN
संबंधित प्रश्न
Find the values of cos(300°)
Find the values of `sin (-(11pi)/3)`
Find all the angles between 0° and 360° which satisfy the equation sin2θ = `3/4`
Find sin(x – y), given that sin x = `8/17` with 0 < x < `pi/2`, and cos y = `- 24/25`, x < y < `(3pi)/2`
Find the value of tan `(7pi)/12`
Prove that cos(π + θ) = − cos θ
Prove that sin(π + θ) = − sin θ.
Prove that sin(A + B) sin(A – B) = sin2A – sin2B
If θ is an acute angle, then find `sin (pi/4 - theta/2)`, when sin θ = `1/25`
If cos θ = `1/2 ("a" + 1/"a")`, show that cos 3θ = `1/2 ("a"^3 + 1/"a"^3)`
Prove that `32(sqrt(3)) sin pi/48 cos pi/48 cos pi/24 cos pi/12 cos pi/6` = 3
Express the following as a sum or difference
sin 5θ sin 4θ
Show that sin 12° sin 48° sin 54° = `1/8`
Prove that `sin theta/2 sin (7theta)/2 + sin (3theta)/2 sin (11theta)/2` = sin 2θ sin 5θ
Prove that cos(30° – A) cos(30° + A) + cos(45° – A) cos(45° + A) = `cos 2"A" + 1/4`
Prove that `(sin(4"A" - 2"B") + sin(4"B" - 2"A"))/(cos(4"A" - 2"B") + cos(4"B" - 2"A"))` = tan(A + B)
If A + B + C = 180°, prove that cos A + cos B − cos C = `- 1 + 4cos "A"/2 cos "B"/2 sin "C"/2`
If ∆ABC is a right triangle and if ∠A = `pi/2` then prove that cos2 B + cos2 C = 1
Choose the correct alternative:
`1/(cos 80^circ) - sqrt(3)/(sin 80^circ)` =
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
