Advertisements
Advertisements
प्रश्न
Evaluate the following: `((1 - cosθ)(1 + cosθ))/((1 - sinθ)(1 + sinθ)` if θ = 30°
Advertisements
उत्तर
θ = 30°
`((1 - cosθ)(1 + cosθ))/((1 - sinθ)(1 + sinθ)`
= `(1 - cos^2θ)/(1 - sin^2 θ)`
= `(1 - cos^2 30°)/(1 - sin^2 30°)`
= `(1 - (sqrt(3)/2)^2)/(1 - (1/2)^2`
= `( 1 - 3/4)/(1 - 1/4)`
= `(1/4)/(3/4)`
= `(1)/(3)`.
APPEARS IN
संबंधित प्रश्न
If sin 3A = 1 and 0 < A < 90°, find sin A
Solve the following equation for A, if tan 3 A = 1
If 3 tan A - 5 cos B = `sqrt3` and B = 90°, find the value of A
If tanθ= cotθ and 0°≤ θ ≤ 90°, find the value of 'θ'.
Evaluate the following: `((sin3θ - 2sin4θ))/((cos3θ - 2cos4θ))` when 2θ = 30°
Find the value 'x', if:
In the given figure, if tan θ = `(5)/(13), tan α = (3)/(5)` and RS = 12m, find the value of 'h'.
Evaluate the following: `(sec34°)/("cosec"56°)`
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin65° + cot59°
Evaluate the following: sin(35° + θ) - cos(55° - θ) - tan(42° + θ) + cot(48° - θ)
