Question:

If sin = 7/25 , find the values of cos and tan.

Answer:

Given sin = 7/25
We have sin²+cos² = 1
(7/25)²+ cos² = 1
(49/625)+ cos² = 1
cos² = 1-(49/625)
cos² = (625-49)/625
cos² = 576/625
Taking square root on both sides
cos = 24/25
tan = sin/cos
= (7/25) ÷(24/25)
= (7/25) ×(25/24)
= 7/24
Hence cos = 24/25 and tan = 7/24.

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If sin = 7/25 , find the values of cos and tan.

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