मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

If sin θ =3/5, where θ is an acute angle, find the value of cos θ. - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

If sin θ =3/5, where θ is an acute angle, find the value of cos θ.

उत्तर

`sintheta=3/5`

we know `sin theta="Opposite"/"Hypotunes"=p/h`

`therefore p/h=3/5`                             [∵ Opposite = Perpendicular = p]

p=3k, h=5k

Let the adjacent (base) side be b.

Thus `b=sqrt((5k)^2-(3k)^2)=4k`

`costheta=(4k)/(5k)=4/5`

 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2014-2015 (March) Set B

व्हिडिओ ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्‍न

If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A


Evaluate cosec 31° − sec 59°


if `sqrt3 tan theta = 3 sin theta` find the value of `sin^2 theta - cos^2 theta`


Find the value of x, if sin x = sin 60° cos 30° + cos 60° sin 30°


Prove that:

`(cos(90^circ - theta)costheta)/cottheta = 1 - cos^2theta`


Use tables to find cosine of 8° 12’


Use tables to find cosine of 65° 41’


Use tables to find the acute angle θ, if the value of sin θ is 0.3827


Evaluate:

`(5sin66^@)/(cos24^@) - (2cot85^@)/(tan5^@)` 


If A and B are complementary angles, prove that:

cot B + cos B = sec A cos B (1 + sin B)


If A and B are complementary angles, prove that:

cosec2 A + cosec2 B = cosec2 A cosec2 B


Find A, if 0° ≤ A ≤ 90° and cos2 A – cos A = 0


Write the value of tan 10° tan 15° tan 75° tan 80°?


If \[\tan A = \frac{5}{12}\] \[\tan A = \frac{5}{12}\]  find the value of (sin A + cos A) sec A. 


The value of \[\frac{\cos^3 20°- \cos^3 70°}{\sin^3 70° - \sin^3 20°}\] 


If 5θ and 4θ are acute angles satisfying sin 5θ = cos 4θ, then 2 sin 3θ −\[\sqrt{3} \tan 3\theta\]  is equal to 


A triangle ABC is right-angled at B; find the value of `(sec "A". sin "C" - tan "A". tan "C")/sin "B"`.


In the case, given below, find the value of angle A, where 0° ≤ A ≤ 90°.
sin (90° - 3A).cosec 42° = 1.


Find the value of the following:

`cot theta/(tan(90^circ - theta)) + (cos(90^circ - theta) tantheta sec(90^circ - theta))/(sin(90^circ - theta)cot(90^circ - theta)"cosec"(90^circ - theta))`


If x tan 60° cos 60°= sin 60° cot 60°, then x = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×