Advertisements
Advertisements
प्रश्न
The value of the expression (sin 80° – cos 80°) is negative.
पर्याय
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
We know that,
sin θ increases when 0° ≤ θ ≤ 90°
cos θ decreases when 0° ≤ θ ≤ 90°
And (sin 80° – cos 80°) = (increasing value-decreasing value) which is always equal to a positive value.
∴ (sin 80° – cos 80°) > 0, which is positive ...(Not negative).
APPEARS IN
संबंधित प्रश्न
If sin A = `3/4`, calculate cos A and tan A.
If cot θ =` 7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`sin theta = 11/5`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos theta = 7/25`
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cosec theta = sqrt10`
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`cos theta = 12/2`
If `cos θ = 12/13`, show that `sin θ (1 - tan θ) = 35/156`.
if `sec A = 17/8` verify that `(3 - 4sin^2A)/(4 cos^2 A - 3) = (3 - tan^2 A)/(1 - 3 tan^2 A)`
Evaluate the following
cos2 30° + cos2 45° + cos2 60° + cos2 90°
Evaluate the following
`sin^2 30° cos^2 45 ° + 4 tan^2 30° + 1/2 sin^2 90° − 2 cos^2 90° + 1/24 cos^2 0°`
Evaluate the Following:
`(tan^2 60^@ + 4 cos^2 45^@ + 3 sec^2 30^@ + 5 cos^2 90)/(cosec 30^@ + sec 60^@ - cot^2 30^@)`
Find the value of x in the following :
`sqrt3 sin x = cos x`
Find the value of x in each of the following :
cos x = cos 60º cos 30º + sin 60º sin 30º
Prove the following:
If tan A = `3/4`, then sinA cosA = `12/25`
If 4 tanθ = 3, then `((4 sintheta - costheta)/(4sintheta + costheta))` is equal to ______.
In ΔABC, ∠ABC = 90° and ∠ACB = θ. Then write the ratios of sin θ and tan θ from the figure.

Find the value of sin 0° + cos 0° + tan 0° + sec 0°.
Find the value of sin 45° + cos 45° + tan 45°.
