Math, asked by anurudhshukla77, 9 months ago

(cosec A - sinA ) (secA- cosA) = 1/tanA+cotA

Answers

Answered by janhavi38

8

Answer:

LHS =(cosecA-sinA) (secA-cosA)

= (1/sinA-sinA)(1/cosA-cosA)

= (1-sin2A/sinA)(1-cos2A/cosA).

=cos2A/sin2A. * sin2A/cosA

=cosA sinA

RHS = 1/tanAcotA

= 1/sinA/cosA+cosA/sinA

= 1/sin2A+cos2A/cosAsinA

=1/1/cosAsinA

= cosAsinA

therefore, LHS=RHS

Hope it will help u

try to understand it ☺

Previous Question

Next Question

Similar questions

Math, 5 months ago

4/5 divided by 4 is ...

Math, 5 months ago

.Find the simplest ratio: 3Km to 300m...

Math, 5 months ago

anyone know how a solve a cube bellow 20 seconds I can solve in 13.34 seconds...

Hindi, 9 months ago

रिक्त स्थान पर उचित मुहावरा भरिए और वाक्य पूरा कीजिए- 1-तुम मोहन को जैसा समझते हो वह वैसा नहीं है, जब वह अपना ----------- तभी तुम्हें समझ आएगा| 2-अंग्रेजों ने भारतीय जनता पर अनगिनत _____________| 3- घर के एक सदस्य की मौत से पूरा परिवार ----------- 4-ओलंपिक खेल आरंभ होने वाले हैं सभी की तैयारियां पूरी नहीं हुई पता नहीं सरकार इतनी -----------है| 5-गोपियां कृष्ण की मुरली की धुन सुनते ही...

Biology, 9 months ago

give reasons only 20 amino acids are considered as standard...

Math, 1 year ago

A piggy bank contains rupee 1 coins, rupees 2 coins.,ruppes 5 coins and rupees10 coins. The number of ruppes 10 coins is four times the number of ruppes 5 coins,eight times the number of ruppes 2 coins and sixteen times the number of ruppes 1 coins.If all the money in the piggy bank adds upto ruppes 555,find the number of ruppes 10 coins in it...

Geography, 1 year ago

On the map above, what is the name of the island to the west of Letter B? A. Kilimanjaro B. Malawi C. Madagascar D. Victoria...

History, 1 year ago

what were the untouchables forbidden to do...