Question

If 7 cosec θ =25, find the value of sin θ + cos θ



pls send full solution​

Answer 1

Answer:

7 cosec θ =25

or, 7/25=sin θ

or, sin^2 theta=(49/625)

or, 1-sin^2 theta=1-(49/625)

or, cos ^2 theta=(576/625)

or, cos theta=√(576/625)

sin θ + cos θ

=7/25+(√576)/25

=(1/25)(7+√576)

Answer 2

Answer:

cosec theta=25/7

cosec theta= Hypotenus/opposite side

Therefore,

7^2+x^2=25^2

49+x^2=625

x^=625-49

x^2=576

x=24

sin theta=opposite/hypotenus=7/25

cos theta=adjacent side/hypotenus=24/25

sin theta+cos theta=7/25+24/25

=31/25 is your answer

Step-by-step explanation:

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