Question

if sin theta =33/65 then find the value of tan theta...​

Answer 1

Answer:

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Answer 2

If cosA=3365 , then we know that the hypotenuse is 65 and one of the two legs (the one adjacent to angle A) is 33.

By the Pythagorean Theorem, a2+b2=c2 where a and b are the lengths of the legs and c is the length of the hypotenuse.

So, a2+332=652 . This means that a2=3136 , so a=56.

The cosine of an angle is given as the ratio of the adjacent side to the hypotenuse, the sine is the ratio of the opposite side to the hypotenuse, and the tangent is the ratio of the opposite side to the adjacent side.

So, sinA=5665 and tanA=5633