Advertisements
Advertisements
Question
If cos θ = `15/17` then find sin θ.
Sum
Advertisements
Solution
sin2θ + cos2θ = 1
⇒ sin2θ + `(15/17)^2 = 1 ...( cos θ = 15/17)`
⇒ sin2θ + `225/289` = 1
⇒ sin2θ = `1 - 225/289`
⇒ sin2θ = `(289 - 225)/289`
⇒ sin2θ = `64/289`
⇒ sin θ = `sqrt (64/289)` ...(Taking square root of both sides)
⇒ sin θ = `8/17`
Thus, the value of sin θ is `8/17`.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the values of -
5 sin 30° + 3 tan 45°
Find the values of -
`4/5` tan2 60° + 3sin2 60°
Find the values of -
2 sin 30° + cos 0° + 3 sin 90°
Find the values of -
`[tan 60°]/[sin 60° + cos 60°]`
Find the values of-
cos2 45° + sin2 30°
Find the values of -
cos 60° × cos 30° + sin 60° × sin 30°
If sin θ = `4/5` then find cos θ.
Which of the following is the value of sin 90°?
2 tan 45° + cos 45° − sin 45° = ?
