हिंदी

Express the following in term of angles between 0° and 45° : cosec 68° + cot 72°

Advertisements
Advertisements

प्रश्न

Express the following in term of angles between 0° and 45° :

cosec 68° + cot 72°

योग
Advertisements

उत्तर

cosec 68° + cot 72°

= cosec(90° – 22°) + cot(90° – 18°)  ...(∵ cosec(90° – θ) = sec θ and cot(90° – θ) = tan θ)

= sec 22° + tan 18°

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 25: Complementary Angles - Exercise 25 [पृष्ठ ३१०]

APPEARS IN

सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 25 Complementary Angles
Exercise 25 | Q 4.2 | पृष्ठ ३१०
सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 21 Trigonometrical Identities
Exercise 21 (C) | Q 2. (ii) | पृष्ठ ३२८

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

If tan A = cot B, prove that A + B = 90°.


if `sin theta = 1/sqrt2`  find all other trigonometric ratios of angle θ.


Solve.
`cos22/sin68`


Evaluate:

`cos70^circ/(sin20^circ) + cos59^circ/(sin31^circ) - 8 sin^2 30^circ`


Prove that:

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


Prove that:

`(sinthetasin(90^circ - theta))/cot(90^circ - theta) = 1 - sin^2theta`


Use tables to find sine of 47° 32'


Use tables to find sine of 62° 57'


Evaluate:

`(cos75^@)/(sin15^@) + (sin12^@)/(cos78^@) - (cos18^@)/(sin72^@)`


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


If θ is an acute angle such that \[\tan^2 \theta = \frac{8}{7}\] then the value of \[\frac{\left( 1 + \sin \theta \right) \left( 1 - \sin \theta \right)}{\left( 1 + \cos \theta \right) \left( 1 - \cos \theta \right)}\]


If A + B = 90°, then \[\frac{\tan A \tan B + \tan A \cot B}{\sin A \sec B} - \frac{\sin^2 B}{\cos^2 A}\] 


\[\frac{1 - \tan^2 45°}{1 + \tan^2 45°}\] is equal to 


A, B and C are interior angles of a triangle ABC. Show that

If ∠A = 90°, then find the value of tan`(("B+C")/2)`


Express the following in term of angles between 0° and 45° :

sin 59° + tan 63°


Evaluate: `(cot^2 41°)/(tan^2 49°) - 2 (sin^2 75°)/(cos^2 15°)`


The value of 3 sin 70° sec 20° + 2 sin 49° sec 51° is


In the given figure, if AB = 14 cm, BD = 10 cm and DC = 8 cm, then the value of tan B is ______.


2(sin6 θ + cos6 θ) – 3(sin4 θ + cos4 θ) is equal to ______.


If sec A + tan A = x, then sec A = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×