Question

If 5 sintheta -12 costheta = 0 find the value of theta

Answer 1

Step-by-step explanation:

Given If 5 sin theta -12 cos theta = 0 find the value of sec theta

• Given 5 sin theta – 12 cos theta = 0
• So 5 sin theta = 12 cos theta
• So sin theta / cos theta = 12/5
• So tan theta = 12 / 5
• Squaring both sides we get
• So tan^2 theta = 144 / 25
• Adding 1 to both sides we get
• 1 + tan^2 theta = 144 / 25 + 1
• So sec^2 theta = 144 + 25 / 25
• So sec^2 theta = 169 / 25
• So sec theta = 13 / 5

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