Advertisements
Advertisements
प्रश्न
In Given Figure, find tan P – cot R.
Advertisements
उत्तर
Applying Pythagoras theorem for ΔPQR, we obtain
PR2 = PQ2 + QR2
(13 cm)2 = (12 cm)2 + QR2
169 cm2 = 144 cm2 + QR2
25 cm2 = QR2
QR = 5 cm
tan P = `("Side opposite to ∠P")/("Side adjacent to ∠P") = ("QR")/("PQ")`
= `5/12`
cot R = `("Side opposite to ∠R")/("Side adjacent to ∠R") = ("QR")/("PQ")`
= `5/12`
tan P - cot R = `5/12 - 5/12 = 0`
APPEARS IN
संबंधित प्रश्न
If cot θ =` 7/8` evaluate `((1+sin θ )(1-sin θ))/((1+cos θ)(1-cos θ))`
If cot θ = `7/8`, evaluate cot2 θ.
In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of
- sin A cos C + cos A sin C
- cos A cos C − sin A sin C
State whether the following are true or false. Justify your answer.
The value of tan A is always less than 1.
In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.
`cos A = 4/5`
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, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`cos theta = 12/2`
If `tan theta = 24/7`, find that sin 𝜃 + cos 𝜃
Evaluate the Following
(cos 0° + sin 45° + sin 30°)(sin 90° − cos 45° + cos 60°)
Find the value of x in the following :
cos 2x = cos 60° cos 30° + sin 60° sin 30°
If `sqrt2 sin (60° – α) = 1` then α is ______.
If cos (81 + θ)° = sin`("k"/3 - theta)^circ` where θ is an acute angle, then the value of k is ______.
3 sin² 20° – 2 tan² 45° + 3 sin² 70° is equal to ______.
If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ______.
The value of the expression `[(sin^2 22^circ + sin^2 68^circ)/(cos^2 22^circ + cos^2 68^circ) + sin^2 63^circ + cos 63^circ sin 27^circ]` is ______.
In the given figure, if sin θ = `7/13`, which angle will be θ?
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.
If sinθ = `1/sqrt(2)` and `π/2 < θ < π`. Then the value of `(sinθ + cosθ)/tanθ` is ______.
(3 sin2 30° – 4 cos2 60°) is equal to ______.
