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√(3/5)^1 -2x = 4 whole 17 by 25 solve for x |
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Answer» ong>Answer:Some trigonometric solutions based problems on trigonometric ratios are shown here with the step-by-step EXPLANATION.
1. If sin θ = 8/17, find other trigonometric ratios of <θ.
Solution:
Problems on Trigonometric Ratios 0Save
LET us draw a ∆ OMP in which ∠M = 90°.
Then sin θ = MP/OP = 8/17.
Let MP = 8K and OP = 17k, where k is positive.
By Pythagoras’ theorem, we get
OP2 = OM2 + MP2
⇒ OM2 = OP2 – MP2
⇒ OM2 = [(17k)2 – (8k)2]
⇒ OM2 = [289k2 – 64k2]
⇒ OM2 = 225k2
⇒ OM = √(225k2)
⇒ OM = 15k
THEREFORE, sin θ = MP/OP = 8k/17k = 8/17
cos θ = OM/OP = 15k/17k = 15/17
tan θ = Sin θ/Cos θ = (8/17 × 17/15) = 8/15
csc θ = 1/sin θ = 17/8
sec θ = 1/cos θ = 17/15 and
cot θ = 1/tan θ = 15/8.
Step-by-step explanation: |
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