Math, asked by mb7523203, 11 months ago

Cos A - Sin A + 1 / cosA + sinA -1 = co
sec A + cot A

Answers

Answered by pritamsahu2004

4

Answer:

Step-by-step explanation:

RHS = cosec A + cotA

LHS = cosA -sinA + 1 / cosA + sinA - 1

divide all by sinA,

=[ cosA/sinA - sinA/sinA + 1/sinA ] / [ cosA/sinA + sinA/sinA - 1/sinA ]

=[cotA -1 + cosec] / [cotA+1 -cosec]

=[cotA + cosecA -(cosec^2A-cot^2A) / cotA +1 - cosecA

=[cotA + cosecA - (cosecA + cotA)(cosecA-cotA)] / cotA +1 -cosecA

=[(cotA+cosecA)(1 - cosec + cot)] / cotA + 1 - cosecA

=cotA + cosecA

Previous Question

Next Question

Similar questions

Math, 6 months ago

In the figure, PR = ? (1 Point) P 45° 5 45° Q R...

Science, 6 months ago

Write the symbol, atomic number, atomic mass of the Carbon...

Science, 6 months ago

(A) 6. Seeds D. Write True or False : 1. Carrot and radish store food in them. 2. Moneyplant is a creeper. 3. The veins carry water to the leaf. 4. Pomegranate has many small seeds. 5. Leaves protect the seeds. Answer the following questions : 1. What are roots? What are its functions?

Science, 11 months ago

a Write answers to the follow questions in your own words. (a) How is light scatterred by the (b) Explain the various properties water. (c) Why is the density of seaw...

Science, 11 months ago

state the Apparatus in which particle size reduction of camphor is carried out...

Political Science, 1 year ago

Fundamental rights of indian constitution is taken from which country...

Social Sciences, 1 year ago

किस प्रशस्ति मे बाप्पा और कालभोज को अलग-अलग व्यक्ति बताया गया है ? (a) श्रृंगी श्रषि का लेख (b) कीर्तिस्तंभ प्रशस्ति (c)रणकपुर प्रशस्ति (d) सिवाणा का लेख...

Hindi, 1 year ago

If a hug tell how much i love you, i would hold you in my arms forever. Meaning in hindi...