Question

Sin70+sin50/cos70+cos50
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Answer 1

Given: The trigonometric term sin 70 + sin 50 / cos 70 + cos 50

To find: The solution of given term.

Solution:

• We have provided with sin 70 + sin 50 / cos 70 + cos 50

• ​ Now we can write it as:

            sin (60 + 10) + sin (60 - 10) / cos (60 + 10) + cos (60 - 10)

• Now applying the formula:

            sin (a±b) = sin a cos b ± cos a sin b

            cos(a+b) = cos a cos b - sin a sin b

            cos(a-b) = cos a cos b + sin a sin b

• We get:

           sin 60 cos 10 + cos 60 sin 10 + sin 60 cos 10 - cos 60 sin 10 /

cos 60 cos 10 - sin 10 sin 60 + cos 60 cos 10 + sin 10 sin 60

• After cancellation similar terms, we get:

           2 sin 60 cos 10 / 2 cos 60 cos 10

• Cancelling cos 10 and 2, we get:

           sin 60 / cos 60

           tan 60 = √3

Answer:

            So the value of sin 70 + sin 50 / cos 70 + cos 50  is √3.

Answer 2

Answer:

cos70°+cos50°

Step-by-step explanation:

cos70°+sin50°