हिंदी

Without Using Trigonometric Tables, Prove That: Tan266° − Cot224° = 0 - Mathematics

Advertisements
Advertisements

प्रश्न

Without using trigonometric tables, prove that:

tan266° − cot224° = 0

योग

उत्तर

LHS = tan266° − cot224°

 = tan2 (`90^circ - 24^circ`) - cot2`24^circ`

 = cot2 `24^circ` - cot`24^circ`

= 0

= RHS

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 7: Trigonometric Ratios of Complementary Angles - Exercises [पृष्ठ ३१२]

APPEARS IN

आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 2.6 | पृष्ठ ३१२

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

In the below given figure, a tower AB is 20 m high and BC, its shadow on the ground, is 20√3 m long. Find the sun’s altitude. 


Without using tables evaluate: 3cos 80°. cosec 10° + 2sin 59° sec 31°


Prove the following identities, where the angles involved are acute angles for which the expressions are defined:

(cosec A - sin A) (sec A - cos A) = `1/(tanA+cotA)` 

[Hint: Simplify LHS and RHS separately.] 


Without using trigonometric tables, evaluate :
`sin 16^circ/cos 74^circ`


Without using trigonometric tables, evaluate :

`("cosec"  42^circ)/sec 48^circ`


Without using trigonometric tables, evaluate :

`cot 38^circ/tan 52^circ`


Without using trigonometric tables, prove that:

cos 81° − sin 9° = 0


Without using trigonometric tables, prove that:

sin248° + sin242° = 1


Prove that:

sin θ cos (90° - θ ) + sin (90° - θ) cos θ = 1


\[\frac{2}{3} {cosec}^2 58^\circ- \frac{2}{3}\cot58^\circ \tan32^\circ - \frac{5}{3}\tan13^\circ \tan37^\circ\tan45^\circ\tan53^\circ\tan77^\circ = - 1\]

Prove that `(sin "A" - cos "A" + 1)/(sin "A" + cos "A" - 1) = 1/(sec "A" - tan "A")`


A man in a boat rowing away from a lighthouse 100 m high takes 2 minutes to change the angle of elevation of the top of the lighthouse from 60° to 30°. Find the speed of the boat in metres per minute [Use `sqrt3` = 1.732]


Solve : Sin2θ - 3sin θ + 2 = 0 .


If 5 tan θ = 4, find the value of `(5 sin θ + 3 cos θ)/(5 sin θ + 2 cos θ)`


From trigonometric table, write the values of sin 37°19'.


From the trigonometric table, write the values of cos 23°17'.


Using trigonometric table evaluate the following:
tan 78°55' - tan 55°18'


`(sin 20°50' + tan 67°40')/(cos 32°20' - sin 15°10')`


Given that sin θ = `a/b` then cos θ is equal to ______.


Prove that:

`(cos^2 "A")/(cos "A" - sin "A") + (sin "A")/(1 - cot "A")` = sin A + cos A


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×