Math, asked by 09359, 7 hours ago

prove 1+cosA -sin A/ 1+cos a + sin A = sec a - tan a

Answers

Answered by muskanmuskan4798

1

L.H.S. =

1+sinA

cosA

+tanA

=

1+sinA

cosA

+

cosA

sinA

=

(1+sinA)cosA

cos

2

A+sinA(1+sinA)

=

(1+sinA)(cosA)

cos

2

A+sinA+sin

2

A

=

(1+sinA)cosA

1+sinA

=

cosA

1

=secA= R.H.S.

Previous Question

Next Question

Similar questions

Math, 4 hours ago

2 equation 4 x + 3 y - 1 is equals to 5 and 12 x + 9 y = 25 represent a pair of coincident lines...

Math, 4 hours ago

A E 0 46. ABC is a triangle in which BE 1 AC and CDIAB. BE and CD intersect at O. If ZBAC=75°, then the measure of ZBOC is (a) 100° (b) 1050 (C) 75° (d) 115° B С C 47. ABC is a right triangle, right angled at B. BC = BA. D...

Science, 4 hours ago

the fundamental quantity which has same dimensions in dimension formula of velocity gradient and pressure gradient...

Science, 7 hours ago

all cardboard item have atomic number 6 but some have maths Number 12 and other have maths number 14 what is different about the structure of these two types of carbon atom?

Computer Science, 7 hours ago

Gmail uses Spam filtering with the help of Technology. true or false...

Math, 8 months ago

use the distributive of multiplication of rational numbers over addition to simplify the given expressions...

English, 8 months ago

5. should begin / everyone / a private library / youth / collecting / in / 6. converse with / in / you / at any moment / a private library/ Socrates or Shakespeare / can/ 7. the hand / your library / should be / as well as / free / accessible /to / to the eye / and/ 8. one of/ that of reading / known to / is / greatest / the / pleasures / man 9. a rich variety / adventure and wisdom / the / world...

History, 8 months ago

Form of the notes in 1876...