Advertisements
Advertisements
प्रश्न
State whether the following are true or false. Justify your answer.
sin θ = `4/3`, for some angle θ.
पर्याय
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
sin θ = `4/3`
We know that in a right-angled triangle,
sin θ = `("Side opposite to ∠θ")/"Hypotenuse"`
In a right-angled triangle, hypotenuse is always greater than the remaining two sides. Therefore, such value of sin θ is not possible.
Hence, the given statement is false.
संबंधित प्रश्न
In ΔABC right angled at B, AB = 24 cm, BC = 7 m. Determine:
sin A, cos A
In Given Figure, find tan P – cot R.

Given sec θ = `13/12`, calculate all other trigonometric ratios.
If cot θ = `7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`.
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`tan alpha = 5/12`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sec theta = 13/5`
Evaluate the following
cos 60° cos 45° - sin 60° ∙ sin 45°
Evaluate the Following
cosec3 30° cos 60° tan3 45° sin2 90° sec2 45° cot 30°
Find the value of x in the following :
cos 2x = cos 60° cos 30° + sin 60° sin 30°
If cosec θ - cot θ = `1/3`, the value of (cosec θ + cot θ) is ______.
The value of cos 0°. cos 1°. cos 2°. cos 3°… cos 89° cos 90° is ______.
5 tan² A – 5 sec² A + 1 is equal to ______.
If sin A = `1/2`, then the value of cot A is ______.
If sec θ = `1/2`, what will be the value of cos θ?
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.
Find an acute angle θ when `(cos θ - sin θ)/(cos θ + sin θ) = (1 - sqrt(3))/(1 + sqrt(3))`
Let f(x) = sinx.cos3x and g(x) = cosx.sin3x, then the value of `7((f(π/7) + g(π/7))/(g((5π)/14) + f((5π)/14)))` is ______.
If θ is an acute angle of a right angled triangle, then which of the following equation is not true?
Evaluate: 5 cosec2 45° – 3 sin2 90° + 5 cos 0°.
