Question

If sin theta =cos theta Evaluate tan 20

Answer 1

Step-by-step explanation:

We are given that

Sin theta = Cos theta.

And we also know that

Tan theta= Sin theta / Cos Theta

So putting Cos theya in Place of Sin theta in Fraction,

We get

2×(Cos theta / Cos theta )= 2 is the answer

Some Identities to be Remembered

• Sin theta = cos theta/ cot theta
• Cos theta = cot theta / cosec theta
• Cot theta = cosec theta / sec theta
• Cosec theta = sec theta / tan theta
• Sec theta = tan theta / sin theta
• Tan theta = sin theta / cos theta

Another set of inversion

• Sin theta = 1/ cosec theta
• cosec theta = 1/ sin theta
• cos theta = 1/ sec theta
• sec theta = 1/ cos theta
• Cot theta = 1/ tan theta
• Tan theta = 1/ cot theta.